diff --git a/docs/source/tutorials/operators.md b/docs/source/tutorials/operators.md
index 34e5a0202d..f8b5949d33 100644
--- a/docs/source/tutorials/operators.md
+++ b/docs/source/tutorials/operators.md
@@ -9,6 +9,52 @@ LiquidJS operators are very simple and different. There're 2 types of operators
 
 Thus numerical operators are not supported and you cannot even plus two numbers like this `{% raw %}{{a + b}}{% endraw %}`, instead we need a filter `{% raw %}{{ a | plus: b}}{% endraw %}`. Actually `+` is a valid variable name in LiquidJS.
 
+## Logic Operators
+
+### not
+
+Negates a condition. Returns `true` if the condition is false, and `false` if the condition is true.
+
+Input
+```liquid
+{% if not user.active %}
+  User is inactive
+{% endif %}
+```
+
+### and
+
+Returns `true` if both conditions are true.
+
+Input
+```liquid
+{% if user.age >= 18 and user.verified %}
+  Access granted
+{% endif %}
+```
+
+### or
+
+Returns `true` if at least one condition is true.
+
+Input
+```liquid
+{% if user.isAdmin or user.isModerator %}
+  You have elevated privileges
+{% endif %}
+```
+
+### contains
+
+Checks if a string contains a substring, or if an array contains an element.
+
+Input
+```liquid
+{% if product.title contains "Pack" %}
+  This is a pack
+{% endif %}
+```
+
 ## Precedence
 
 1. Comparison operators, and `contains`. All comparison operators alongside `contains` have the same (highest) precedence.
diff --git a/docs/source/zh-cn/tutorials/operators.md b/docs/source/zh-cn/tutorials/operators.md
index 1b567d3356..68fe1a4d0d 100644
--- a/docs/source/zh-cn/tutorials/operators.md
+++ b/docs/source/zh-cn/tutorials/operators.md
@@ -5,14 +5,61 @@ title: 运算符
 LiquidJS 运算符非常简单也很特别，只支持两类运算符：
 
 * 比较运算符：`==`, `!=`, `>`, `<`, `>=`, `<=`
-* 逻辑运算符：`or`, `and`, `contains`
+* 逻辑运算符：`not`, `or`, `and`, `contains`
 
 因此普通的数学运算是不支持的，比如 `{% raw %}{{a + b}}{% endraw %}`。它的替代方案是过滤器 `{% raw %}{{ a | plus: b}}{% endraw %}`。事实上 `+` 在 LiquidJS 中是一个合法的变量名。
 
+## 逻辑运算符
+
+### not
+
+对条件取反。如果条件为假则返回 `true`，如果条件为真则返回 `false`。
+
+输入
+```liquid
+{% if not user.active %}
+  用户未激活
+{% endif %}
+```
+
+### and
+
+当两个条件都为真时返回 `true`。
+
+输入
+```liquid
+{% if user.age >= 18 and user.verified %}
+  允许访问
+{% endif %}
+```
+
+### or
+
+当至少一个条件为真时返回 `true`。
+
+输入
+```liquid
+{% if user.isAdmin or user.isModerator %}
+  您拥有提升的权限
+{% endif %}
+```
+
+### contains
+
+检查字符串是否包含子字符串，或数组是否包含元素。
+
+输入
+```liquid
+{% if product.title contains "Pack" %}
+  这是一个套装
+{% endif %}
+```
+
 ## 优先级
 
-1. 比较运算符。所有比较运算符具有同样的优先级，且高于逻辑运算符。
-2. 逻辑运算符。所有逻辑运算符具有同样的有衔接。
+1. 比较运算符和 `contains`。所有比较运算符和 `contains` 具有同样的（最高）优先级。
+2. `not` 运算符。它的优先级略高于 `or` 和 `and`。
+3. `or` 和 `and` 运算符。这些逻辑运算符具有同样的（最低）优先级。
 
 ## 结合性