How to Count Kanji Strokes (画数): The Eight Basic Strokes Plus the Corner, Hook, and Enclosure Rules
Counting kanji strokes comes down to two things: a closed set of eight basic stroke types known as 永字八法 (えいじはっぽう, eijihappō), and a short set of rules for deciding when adjacent pen motions are one stroke or two.123 Get those two pieces right, and 画数 (かくすう, kakusū) stops being guesswork and becomes a lookup skill.4
Overview
What 画数 means and why a kanji has a "stroke count" at all
画 (ガ｜カク) is the unit "stroke"; 画数 (かくすう, kakusū) is the total stroke count of a single kanji.4 A stroke is one continuous mark made without lifting the pen or brush. Lifting it ends the stroke and starts the next.5
A single stroke can include abrupt changes in direction within the line. Wikipedia's definition is precise: "a single stroke includes all the motions necessary to produce a given part of a character before lifting the writing instrument from the writing surface; thus, a single stroke may have abrupt changes in direction within the line."3 That clause is what makes a corner or a hook count as one stroke rather than two.
The lookup tradition behind 画数 comes from the Kangxi-dictionary tradition (康熙字典). Kanji are organized first by radical (部首, ぶしゅ), and within each radical by the stroke count of the residual portion. Modern Japanese 漢和辞典 (かんわじてん, kanwa jiten, kanji dictionaries) inherit the same axes and add a third one: the 総画索引 (total-stroke index), which lets a reader look up a kanji by stroke count alone.67
The educational standard for counting and ordering kanji strokes in Japan comes from the Ministry of Education's 『筆順指導の手びき』(Hitsujun Shidō no Tebiki, "Guide to Stroke-Order Instruction"), published in 1958.8910 The elementary curriculum (小学校学習指導要領) says that first-grade pupils (第1学年) should 「筆順に従って文字を正しく書くこと」, "write characters correctly following stroke order."11 Stroke order and stroke count are taught as parts of the same skill.
The framework: eight basic strokes plus disambiguation rules
The canonical name for the eight stroke types every kanji is built from is 永字八法 (えいじはっぽう, eijihappō, "eight methods of [the character] 永"), so called because the single character 永 (なが-い, "eternity") contains an instance of each.112213
Think of the eight strokes as the alphabet of the counting system. The rest of this article covers the merge rules: the corner, hook, enclosure, and cross rules that tell you when adjacent pen motions combine into a single stroke instead of being counted twice.3
Counting strokes correctly is one question (this article). Writing strokes in the correct sequence is a separate question (筆順, hitsujun). The eight-stroke alphabet is shared by both, but the rules diverge after that.8
The eight basic strokes (永字八法)
Why 永 is the teaching example
The character 永 contains one instance of every basic stroke type. That is why it became the practice character for regular script (楷書, kaisho).11213 Attribution varies across sources. The principle is traditionally credited to the Eastern Han calligrapher 崔瑗 (Cui Yuan), with the technique transmitted through 鍾繇 and 王羲之; later sources credit the Buddhist monk 智永 or 張旭 with codifying the eight-method teaching.112
永 itself has 5 strokes and is grade-5 kyōiku kanji.13 The pedagogical payoff is that anyone who can write 永 cleanly has, by definition, produced every basic stroke type at least once.
The eight strokes, each as one stroke
The eight strokes are listed below in the canonical order taught in calligraphy primers, with the descriptive modern Japanese name first.12 The classical 永字八法 character name is footnoted on each entry for cross-reference with calligraphy sources.14
- 点 (てん, ten), "dot." The opening short dot at the top of 永.12
- 横画 (よこかく, yokokaku), "horizontal." The brief horizontal that follows the dot.12
- 縦画 (たてかく, tatekaku), "vertical." The long central vertical of 永. Also written 竪 in older texts.12
- 鉤 (こう, kō), also called はね (hane), "hook." The hooked tail at the bottom of the central vertical.12
- 提 (てい, tei), also called はね-上げ, "rising stroke." The short upward flick.12
- 撇 (へつ, hetsu), also called 左払い (ひだりはらい, hidari-harai), "long left-falling diagonal."12
- 短撇 (たんへつ, tanhetsu), "short left-falling diagonal." A shorter, faster version of the left-falling stroke, distinguished by length and angle.12
- 捺 (なつ, natsu), also called 右払い (みぎはらい, migi-harai), "right-falling diagonal."12
Each of these is one stroke; that is the entire point of the inventory.3
Wikipedia's CJK-stroke article lists the same eight types in pinyin-keyed naming as Heng (horizontal), Shu (vertical), Pie (left-falling), Na (right-falling), Dian (dot), Ti (rising), Gou (hook), and Zhe (turning).3 The "turning" stroke (Zhe, 折) is the same phenomenon as the corner rule in the next section: a horizontal that turns into a vertical without lifting the brush counts as one stroke.3
Beginner-focused Japanese pedagogy almost always uses the descriptive names (点, 横画, 縦画, はね, 払い) when introducing the inventory. The classical 永字八法 names (側, 勒, 努, 趯, 策, 掠, 啄, 磔) appear in calligraphy contexts.1 Use whichever convention your source uses; the eight types are identical either way.
Stop, stretch, hook: the three stroke endings
Japanese stroke-end vocabulary distinguishes three endings.5 The ending changes how a stroke is shaped, not how many strokes there are.
- 止め (とめ, tome, "stop"): the stroke comes to a firm halt; the pen presses and lifts cleanly. In brush calligraphy, a small pool of ink visibly marks the end.5
- 跳ね (はね, hane, "flick" or "hook"): the stroke ends with an upward flick that does not continue in the main stroke's direction.5
- 払い (はらい, harai, "sweep"): the pen lifts gradually while still in motion, tapering the line to a thin tail.5
The ending does not change the stroke count: a vertical with a 跳ね tail at the bottom (亅) is still one stroke, not two.12 The MEXT-aligned 常用漢字表の字体・字形に関する指針 (guidelines on standard kanji forms and shapes; MEXT is Japan's education ministry) explicitly treats minor differences in stroke shape, including the presence or absence of a hook tail, as acceptable variants of the same single stroke.15
What counts as one stroke (and what doesn't)
A corner is one stroke
A horizontal that turns into a vertical, or a vertical that turns into a horizontal, without the pen leaving the page, counts as a single stroke.35 This is the most useful rule for learners because it explains the most common miscount in beginner kanji.
The worked count from kanjipedia.jp (publisher: 公益財団法人 日本漢字能力検定協会, the organization that administers the Kanji Kentei) places 口 in the 3-stroke section of the total-stroke index, not the 4-stroke section.16 The three strokes are: (1) left vertical, top to bottom; (2) top horizontal, which turns at the corner into the right vertical and continues to the bottom of the right side, all as one stroke; (3) bottom horizontal, which closes the shape.17
口は三画です。16
"口 is three strokes."
田は五画です。18
"田 is five strokes."
The same corner rule explains 日 (4 strokes), 田 (5 strokes), and 国 (8 strokes). In each case, the visible "box" component contributes 3 strokes (left vertical, top-and-right corner as one stroke, bottom horizontal), and the remaining strokes are interior elements.191816
A hook is part of its parent stroke
A hooked tail (跳ね, hane) on a vertical or horizontal does not add a stroke.12 This follows directly from the eight-stroke inventory: the hook is one of the eight basic stroke types, not a stroke-plus-modifier.12 The MEXT 常用漢字表 字体・字形 guidance reinforces this point: the presence or absence of a hook tail at the end of a vertical is a shape variant of the same single stroke.15
了は二画です。16
"了 is two strokes."
子は三画です。16
"子 is three strokes."
Kanjipedia's index lists 了 in the 2-stroke section (horizontal-with-rightward-turn-and-hook + vertical-with-hook), 子 in the 3-stroke section, and 手 in the 4-stroke section.16 In every case, the visible hook is included in the count of the stroke it ends.
A learner who counts the hook on 了 separately reaches three strokes and looks 了 up in the wrong index section. The 漢字ペディア 3-stroke index will not contain it; the 2-stroke index will. When the count gives no match, suspect a stroke ending before assuming the index is wrong.16
An enclosure is built from three strokes, then closed with a fourth
The 囗-shape (くにがまえ, kunigamae, "country enclosure"; Kangxi radical 31) does not follow a "four sides equals four strokes" rule.16 The standard count for the open box is three strokes: (1) left vertical, (2) top horizontal that turns at the corner and continues as the right vertical, (3) bottom horizontal that closes the shape.17
The "fourth side" of the visible box is the bottom-closing horizontal, which is one of those three strokes, not an extra one beyond them.17 The same logic applies to kanji that contain a 囗-enclosure: the enclosure contributes 3 strokes, and any internal element adds its own count.
国は八画で、囗は三画です。16
"国 is eight strokes, and the enclosure radical 囗 is three strokes."
Worked counts:
- 口 = 3 strokes (the enclosure is the whole character).1916
- 国 = 8 strokes (3 from the 囗 enclosure plus 5 from the interior 玉).20
- The older traditional form 國 surrounds the more complex 或, giving 11 strokes total.20
The 1958 stroke-order guide formalizes the order in 原則 4 (外側が先, "outside first") and the closing-stroke principle (the bottom of an enclosure goes last). The count follows the same logic.8
Cross-stroke and merged-stroke cases
Two strokes that appear to cross but are written separately both get counted: 十 is 2 strokes (a horizontal and a vertical that intersect), not 1.8 The 1958 guide's 原則 1 (横画が先, "horizontal first when crossing") is the order rule. The count rule is simpler: cross = two strokes.8
A compound zigzag, such as an L-shape or a Z-shape, produced by a single continuous brush motion is one stroke. This is the Zhe (折, "turning") stroke in the CJK-stroke inventory: a stroke that changes direction at a sharp angle without lifting the brush.3
十は二画です。16
"十 is two strokes."
七は二画です。16
"七 is two strokes."
Worked counts in this family: 七 is 2 strokes (horizontal + a vertical-with-turn-and-hook for the Z-shape); 九 is 2 strokes (left-falling diagonal + a horizontal-that-turns-and-hooks).16
Edge cases the dictionary will tell you about
The two most useful divergences to know are these, especially if you use a Japanese-Japanese 漢和辞典 alongside a Chinese-language reference:
- 及: 3 strokes in Japanese and mainland (simplified) Chinese; 4 strokes in traditional Chinese and Korean.21 The relevant zigzag is one continuous stroke in the JP / Mainland tradition and two separate strokes in the traditional 又-radical analysis.21
- 骨: 10 strokes in Japanese, traditional Chinese, and Korean; 9 strokes in simplified Chinese.22 The divergence is in the upper component: simplified Chinese writes it as a single stroke from the left; traditional Chinese, Japanese, and Korean write it as two strokes from the center.22
The practical takeaway: when your guessed count does not match the index, check the dictionary's country or tradition before you assume you miscounted.
必 (ヒツ｜かなら-ず) is 5 strokes in every tradition.520 What differs across regions is the order: in Japan the top dot is written first, while the Chinese traditional order writes the left-falling 丿 first.520 A learner consulting a Chinese stroke-order chart and recounting from scratch will get the same answer. Do not let an order disagreement trick you into recounting.
Common miscounts to memorize
Here is a compact reference for the most useful miscounts to memorize in beginner kanji. The "apparent count" column is the naive count a learner reaches before applying the rules; the "actual count" is the count the 漢字ペディア total-stroke index uses.16
| Kanji | Reading | Apparent count | Actual count | Rule applied |
|---|---|---|---|---|
| 口 | くち | 4 | 3 | Corner: top-and-right of the box is one stroke.1916 |
| 日 | ひ | 5 | 4 | Corner: 囗 (3) + interior horizontal (1).16 |
| 田 | た | 6 | 5 | Corner: 囗 (3) + interior cross 十 (2).1816 |
| 国 | くに | 9 | 8 | Corner: 囗 (3) + interior 玉 (5).20 |
| 了 | リョウ | 3 | 2 | Hook: the hooked tail is part of its parent stroke.16 |
| 子 | こ | 4 | 3 | Hook: the central vertical-with-hook is one stroke.16 |
| 手 | て | 5 | 4 | Hook: the bottom vertical-with-hook is one stroke.16 |
| 十 | ジュウ | 1 | 2 | Cross: horizontal and vertical are separate strokes.16 |
| 七 | なな | 1 | 2 | Z-shape merge: horizontal + vertical-with-turn-and-hook.16 |
| 九 | キュウ | 1 | 2 | Z-shape merge: left-falling + horizontal-that-turns-and-hooks.16 |
| 及 | キュウ | 4 | 3 (JP / Mainland) | Z-shape merge in JP / Mainland; counted as 4 in Traditional / Korean.21 |
Why stroke count matters: the dictionary-lookup workflow
Paper-dictionary lookup (kakusū index)
A Japanese-Japanese 漢和辞典 (kanji dictionary), such as 大修館書店『新漢語林』, 角川『新字源』, 学研『漢字源』, or the Morohashi 『大漢和辞典』, offers three indexes: 部首索引 (radical index), 音訓索引 (reading index), and 総画索引 (total-stroke index).6237
The 総画索引 (そうかくさくいん, sōkaku sakuin, total-stroke index) is the lookup of last resort: it sorts every entry by total stroke count, so a reader who does not know the reading or the radical can still find the kanji by counting.67 The standard procedure, per 漢和辞典 usage guides, is simple: (1) count the total strokes of the unknown kanji, (2) consult the 総画索引 at that count, (3) scan the list of kanji with that count until the target is found.6
The radical index (部首索引) also uses stroke count on its second axis: after the radical, kanji are sorted by the stroke count of the remaining portion (親字の総画数 minus the radical's stroke count).67 A miscount in this remaining portion is one of the most common reasons a learner fails to find a kanji that is in fact in the dictionary.6
The 大漢和辞典 (Morohashi Tetsuji's Daikanwa Jiten), the largest Japanese-Japanese kanji dictionary, organizes entries by the same three axes. Its 「引き方」 (how-to-look-up) guide explicitly walks the user through the stroke-count step.7
Radical-and-stroke lookup (Jisho, wadoku, Halpern)
The Jisho radical-and-stroke grid is the digital descendant of the same 部首 + 残画数 lookup: select the radical, then narrow by the stroke count of the remaining component. The same logic governs Jack Halpern's "SKIP" code and the Spahn-Hadamitzky Kanji Dictionary. Both require a stroke count along one of their axes.
The radical-grid path handles most digital lookups of an unrecognized kanji whose radical the learner can identify. When the radical itself is unfamiliar, the next section becomes relevant.
When stroke count is the wrong tool
Handwriting OCR (camera-based dictionary apps, sljfaq.org's kanji-by-radical recognizer, KanjiVG-derived tools), Yomitan hover, and clipboard-paste lookup all return a result from an image, hover, or pasted text, not from a stroke count. If you have any of these tools available, you rarely need to count strokes at all.
Stroke count is still essential for three lookup paths:
- Paper-dictionary lookup, where the 総画索引 is the entry point of last resort.6
- Radical-grid lookup when the radical itself is unfamiliar; the stroke-count axis disambiguates among candidate radicals.
- Academic apparatus that cites a kanji by 画数, for example the convention 「口部三画」 used in dictionary entries.6
Good to know
The "guess plus or minus one" habit
If you guess the stroke count and fail to find the kanji, check one count above and one count below before retracing the strokes. The most frequent off-by-one errors come from the corner rule (counted four where the answer is three) and the hook rule (counted two where the answer is one). Both errors are off by exactly one, in the same direction.16
永 is the practice character of every Japanese calligraphy textbook
Writing 永 once correctly forces you to produce every basic stroke type in regular script. The 永字八法 framework is built on this single character's exhaustiveness; calligraphy primers from the Tang era onward have used it as the introductory exercise.112
Counting a box as four strokes
The naive count for 口 is four strokes, one per visible side. The correct count is three: left vertical, then a single stroke for the top-and-right corner, then the bottom horizontal that closes the shape. The 90-degree corner turn from the top horizontal into the right vertical is written without lifting the brush, so it is one stroke, not two. 漢字ペディア lists 口 in its 3-stroke index, not its 4-stroke index.191617
口は三画です。16
"口 is three strokes."
Counting a hook as a separate stroke
The naive count for 了 is three strokes, treating the hook at the bottom of the vertical as its own mark. The correct count is two: the top stroke (horizontal-with-corner-and-hook) and the central vertical-with-hook. A 跳ね hooked tail is part of its parent stroke; the 永字八法 inventory codifies the hook as one of the eight named stroke types, not as a modifier added to another stroke.1216
了は二画です。16
"了 is two strokes."
Where Japanese and Chinese counts diverge
The same printed kanji can have a different official 画数 in modern Japanese, simplified Chinese, traditional Chinese, and Korean usage. Two well-attested cases are 及 (3 strokes in Japanese and mainland Chinese; 4 strokes in traditional Chinese and Korean)21 and 骨 (10 strokes in Japanese, traditional Chinese, and Korean; 9 strokes in simplified Chinese).22
The dictionary's country or tradition is the deciding factor. If you are reading Japanese text, use a Japanese-Japanese 漢和辞典 for lookup and do not assume that a Chinese or Korean reference will agree on the count.
Stroke count vs. stroke order
Stroke count (画数, kakusū) is the number of strokes; stroke order (筆順, hitsujun; everyday-speech 書き順, kakijun) is the sequence and direction in which those strokes are written.8 In Japanese-language pedagogy, 筆順 is the formal academic term used in MEXT documents and dictionaries; 書き順 is the conversational equivalent.8
Count is for lookup. Order is for handwriting, OCR-friendly input, and recognizing radicals at speed. Mastering one does not give you the other for free.
See also
- What Is Kanji? A Complete Beginner's Introduction
- The Six Categories of Kanji (六書): Pictographs, Ideographs, and Phono-Semantic Compounds
- The Jōyō Kanji List (常用漢字): The 2,136-Character Set Explained
- Hiragana Stroke Order: Why It Matters Even If You Type
- Katakana Stroke Order: How to Write All 46 Kana and Why Angular Shapes Make It Easier