diff --git a/src/node/build.ts b/src/node/build.ts
index 2474c8619ad237..4468340941fb95 100644
--- a/src/node/build.ts
+++ b/src/node/build.ts
@@ -11,9 +11,8 @@ import resolve from 'resolve-from'
 import chalk from 'chalk'
 import { Resolver, createResolver } from './resolver'
 import { Options } from 'rollup-plugin-vue'
-import { scriptRE } from './utils'
 import { createBuildResolvePlugin } from './buildPluginResolve'
-import { createBuildHtmlPlugin } from './buildPluginHtml'
+import { createBuildHtmlPlugin, scriptRE } from './buildPluginHtml'
 import { createBuildCssPlugin } from './buildPluginCss'
 import { createBuildAssetPlugin } from './buildPluginAsset'
 
diff --git a/src/node/buildPluginHtml.ts b/src/node/buildPluginHtml.ts
index 74b4eadcacfb7f..c10d4bd186ec97 100644
--- a/src/node/buildPluginHtml.ts
+++ b/src/node/buildPluginHtml.ts
@@ -1,5 +1,7 @@
 import { Plugin } from 'rollup'
-import { scriptRE } from './utils'
+
+export const scriptRE = /<script\b([^>]*)>([\s\S]*?)<\/script>/gm
+const srcRE = /\bsrc=(?:"([^"]+)"|'([^']+)'|([^'"\s]+)\b)/
 
 export const createBuildHtmlPlugin = (
   indexPath: string,
@@ -12,9 +14,18 @@ export const createBuildHtmlPlugin = (
         let script = ''
         let match
         while ((match = scriptRE.exec(indexContent))) {
-          // TODO handle <script type="module" src="..."/>
-          // just add it as an import
-          script += match[1]
+          // <script type="module" src="..."/>
+          // add it as an import
+          const tagAttr = match[1]
+          const srcMatch = tagAttr && tagAttr.match(srcRE)
+          if (srcMatch) {
+            script += `\nimport "${
+              srcMatch[1] || srcMatch[2] || srcMatch[3]
+            }"\n`
+          }
+          // <script type="module">...</script>
+          // add its content
+          script += match[2]
         }
         return script
       }
diff --git a/src/node/utils.ts b/src/node/utils.ts
index 138ecd7aa45cab..39a02b35b25651 100644
--- a/src/node/utils.ts
+++ b/src/node/utils.ts
@@ -4,8 +4,6 @@ import LRUCache from 'lru-cache'
 import os from 'os'
 import { Context } from 'koa'
 
-export const scriptRE = /<script\b[^>]*>([\s\S]*?)<\/script>/gm
-
 const imageRE = /\.(png|jpe?g|gif|svg)(\?.*)?$/
 const mediaRE = /\.(mp4|webm|ogg|mp3|wav|flac|aac)(\?.*)?$/
 const fontsRE = /\.(woff2?|eot|ttf|otf)(\?.*)?$/i