diff --git a/CHANGELOG.en-US.md b/CHANGELOG.en-US.md
index 98431af7bcb..cba336d952a 100644
--- a/CHANGELOG.en-US.md
+++ b/CHANGELOG.en-US.md
@@ -1,5 +1,13 @@
 # CHANGELOG
 
+## Pending
+
+### Feats
+
+### Fixes
+
+- Fix `n-slider` loss floating point decimal precision, closes [#751](https://github.com/TuSimple/naive-ui/issues/751).
+
 ## 2.16.0 (2021-08-02)
 
 ### Breaking Changes
diff --git a/CHANGELOG.zh-CN.md b/CHANGELOG.zh-CN.md
index 8ed4c55680d..fbb19a3b2ae 100644
--- a/CHANGELOG.zh-CN.md
+++ b/CHANGELOG.zh-CN.md
@@ -1,5 +1,13 @@
 # CHANGELOG
 
+## Pending
+
+### Feats
+
+### Fixes
+
+- 修复 `n-slider` 丢失浮点数小数精度，关闭 [#751](https://github.com/TuSimple/naive-ui/issues/751)
+
 ## 2.16.0 (2021-08-02)
 
 ### Breaking Changes
diff --git a/src/slider/src/Slider.tsx b/src/slider/src/Slider.tsx
index d8b8527fef8..d1768d7046b 100644
--- a/src/slider/src/Slider.tsx
+++ b/src/slider/src/Slider.tsx
@@ -114,6 +114,13 @@ export default defineComponent({
     const railRef = ref<HTMLElement | null>(null)
     const followerRef1 = ref<FollowerInst | null>(null)
     const followerRef2 = ref<FollowerInst | null>(null)
+    const precisionRef = computed(() => {
+      const precisions = [props.min, props.max, props.step].map((item) => {
+        const fraction = String(item).split('.')[1]
+        return fraction ? fraction.length : 0
+      })
+      return Math.max(...precisions)
+    })
 
     const uncontrolledValueRef = ref(props.defaultValue)
     const controlledValueRef = toRef(props, 'value')
@@ -459,6 +466,7 @@ export default defineComponent({
       justifiedValue = Math.max(min, justifiedValue)
       justifiedValue = Math.min(max, justifiedValue)
       justifiedValue = Math.round((justifiedValue - min) / step) * step + min
+      justifiedValue = parseFloat(justifiedValue.toFixed(precisionRef.value))
       if (marks) {
         const closestMarkValue = getClosestMarkValue(value)
         if (