diff --git a/docs/.vitepress/config.ts b/docs/.vitepress/config.ts
index 9fb78d35..42fe55d1 100644
--- a/docs/.vitepress/config.ts
+++ b/docs/.vitepress/config.ts
@@ -53,7 +53,7 @@ export default defineConfig({
       indexName: 'vitepress'
     },
 
-    // offlineSearch: true,
+    // localSearch: true,
 
     carbonAds: {
       code: 'CEBDT27Y',
diff --git a/docs/reference/default-theme-search.md b/docs/reference/default-theme-search.md
index fe704c4b..8b43db3d 100644
--- a/docs/reference/default-theme-search.md
+++ b/docs/reference/default-theme-search.md
@@ -1,15 +1,15 @@
 # Search
 
-## Offline Search
+## Local Search
 
-VitePress supports fuzzy full-text search using a in-browser index thanks to [minisearch](https://github.com/lucaong/minisearch/). You can enable it in your `.vitepress/config.ts` with the `offlineSearch` theme config:
+VitePress supports fuzzy full-text search using a in-browser index thanks to [minisearch](https://github.com/lucaong/minisearch/). You can enable it in your `.vitepress/config.ts` with the `localSearch` theme config:
 
 ```ts
 import { defineConfig } from 'vitepress'
 
 export default defineConfig({
   themeConfig: {
-    offlineSearch: true
+    localSearch: true
   }
 })
 ```
@@ -20,7 +20,7 @@ Example result:
 
 Alternatively, you can use [Algolia DocSearch](#algolia-search) or some community plugins like <https://www.npmjs.com/package/vitepress-plugin-search> or <https://www.npmjs.com/package/vitepress-plugin-pagefind>.
 
-### i18n {#offline-search-i18n}
+### i18n {#local-search-i18n}
 
 You can use a config like this to use multilingual search:
 
@@ -29,7 +29,7 @@ import { defineConfig } from 'vitepress'
 
 export default defineConfig({
   themeConfig: {
-    offlineSearch: {
+    localSearch: {
       locales: {
         zh: {
           translations: {
diff --git a/src/client/shim.d.ts b/src/client/shim.d.ts
index 4fad996e..ba980db7 100644
--- a/src/client/shim.d.ts
+++ b/src/client/shim.d.ts
@@ -21,7 +21,7 @@ declare module '@theme/index' {
   export default theme
 }
 
-declare module '@offlineSearchIndex' {
+declare module '@localSearchIndex' {
   const data: Record<string, () => Promise<{ default: string }>>
   export default data
 }
diff --git a/src/client/theme-default/components/VPOfflineSearchBox.vue b/src/client/theme-default/components/VPLocalSearchBox.vue
similarity index 96%
rename from src/client/theme-default/components/VPOfflineSearchBox.vue
rename to src/client/theme-default/components/VPLocalSearchBox.vue
index 2a8e1714..755d9fc7 100644
--- a/src/client/theme-default/components/VPOfflineSearchBox.vue
+++ b/src/client/theme-default/components/VPLocalSearchBox.vue
@@ -3,10 +3,10 @@ import { markRaw, nextTick, onMounted, ref, shallowRef, watch, type Ref, createA
 import { useRouter } from 'vitepress'
 import { onKeyStroke, useSessionStorage, debouncedWatch, useLocalStorage, useEventListener, computedAsync } from '@vueuse/core'
 import MiniSearch, { type SearchResult } from 'minisearch'
-import offlineSearchIndex from '@offlineSearchIndex'
+import localSearchIndex from '@localSearchIndex'
 import { useData } from '../composables/data'
 import { createTranslate } from '../support/translation'
-import type { ModalTranslations } from '../../../../types/offline-search'
+import type { ModalTranslations } from '../../../../types/local-search'
 import { pathToFile, withBase } from '../../app/utils.js'
 
 defineProps<{
@@ -21,11 +21,11 @@ const el = ref<HTMLDivElement>()
 
 /* Search */
 
-const searchIndexData = shallowRef(offlineSearchIndex)
+const searchIndexData = shallowRef(localSearchIndex)
 
 // hmr
 if (import.meta.hot) {
-  import.meta.hot.accept('/@offlineSearchIndex', (m) => {
+  import.meta.hot.accept('/@localSearchIndex', (m) => {
     if (m) {
       searchIndexData.value = m.default
     }
@@ -50,9 +50,9 @@ const searchIndex = computedAsync(async () => markRaw(MiniSearch.loadJSON<Result
   },
 })))
 
-const filterText = useSessionStorage('vitepress:offline-search-filter', '')
+const filterText = useSessionStorage('vitepress:local-search-filter', '')
 
-const showDetailedList = useLocalStorage('vitepress:offline-search-detailed-list', false)
+const showDetailedList = useLocalStorage('vitepress:local-search-detailed-list', false)
 
 const results: Ref<(SearchResult & Result)[]> = shallowRef([])
 
@@ -226,7 +226,7 @@ const router = useRouter()
 onKeyStroke('Enter', () => {
   const selectedPackage = results.value[selectedIndex.value]
   if (selectedPackage) {
-    router.go(selectedPackage.id)
+    router.go(withBase(selectedPackage.id))
     emit('close')
   }
 })
@@ -255,7 +255,7 @@ const defaultTranslations: { modal: ModalTranslations } = {
   }
 }
 
-const $t = createTranslate(theme.value.offlineSearch, defaultTranslations)
+const $t = createTranslate(theme.value.localSearch, defaultTranslations)
 
 // Back
 
@@ -272,7 +272,7 @@ useEventListener('popstate', event => {
 
 <template>
   <Teleport to="body">
-    <div ref="el" class="VPOfflineSearchBox" aria-modal="true">
+    <div ref="el" class="VPLocalSearchBox" aria-modal="true">
       <div class="backdrop" @click="$emit('close')" />
 
       <div class="shell">
@@ -378,7 +378,7 @@ useEventListener('popstate', event => {
 </template>
 
 <style scoped lang="postcss">
-.VPOfflineSearchBox {
+.VPLocalSearchBox {
   position: fixed;
   z-index: 100;
   inset: 0;
diff --git a/src/client/theme-default/components/VPNavBarSearch.vue b/src/client/theme-default/components/VPNavBarSearch.vue
index 32950a20..882fc5c8 100644
--- a/src/client/theme-default/components/VPNavBarSearch.vue
+++ b/src/client/theme-default/components/VPNavBarSearch.vue
@@ -15,9 +15,9 @@ const VPAlgoliaSearchBox = __ALGOLIA__
   ? defineAsyncComponent(() => import('./VPAlgoliaSearchBox.vue'))
   : () => null
 
-const VPOfflineSearchBox = __ALGOLIA__
+const VPLocalSearchBox = __ALGOLIA__
   ? () => null
-  : defineAsyncComponent(() => import('./VPOfflineSearchBox.vue'))
+  : defineAsyncComponent(() => import('./VPLocalSearchBox.vue'))
 
 const { theme, localeIndex } = useData()
 
@@ -32,9 +32,9 @@ const buttonText = computed(() => {
       ?.buttonText ||
       theme.value.algolia.translations?.button?.buttonText ||
       'Search'
-  } else if (typeof theme.value.offlineSearch === 'object') {
-    return theme.value.offlineSearch.locales?.[localeIndex.value]?.translations?.button?.buttonText ||
-      theme.value.offlineSearch.translations?.button?.buttonText ||
+  } else if (typeof theme.value.localSearch === 'object') {
+    return theme.value.localSearch.locales?.[localeIndex.value]?.translations?.button?.buttonText ||
+      theme.value.localSearch.translations?.button?.buttonText ||
       'Search'
   }
   return 'Search'
@@ -101,11 +101,11 @@ function poll() {
   }, 16)
 }
 
-// Offline search
+// Local search
 
 const showSearch = ref(false)
 
-if (!__ALGOLIA__ && theme.value.offlineSearch) {
+if (!__ALGOLIA__ && theme.value.localSearch) {
   onKeyStroke('k', event => {
     if (event.ctrlKey || event.metaKey) {
       event.preventDefault()
@@ -134,10 +134,10 @@ onMounted(() => {
       </div>
     </template>
     
-    <template v-else-if="theme.offlineSearch">
-      <VPOfflineSearchBox v-if="showSearch" :placeholder="buttonText" @close="showSearch = false" />
+    <template v-else-if="theme.localSearch">
+      <VPLocalSearchBox v-if="showSearch" :placeholder="buttonText" @close="showSearch = false" />
 
-      <div id="offline-search">
+      <div id="local-search">
         <VPNavBarSearchButton :placeholder="buttonText" @click="showSearch = true" />
       </div>
     </template>
diff --git a/src/node/plugin.ts b/src/node/plugin.ts
index 55f5dde6..563d4b61 100644
--- a/src/node/plugin.ts
+++ b/src/node/plugin.ts
@@ -22,7 +22,7 @@ import { staticDataPlugin } from './plugins/staticDataPlugin'
 import { webFontsPlugin } from './plugins/webFontsPlugin'
 import { dynamicRoutesPlugin } from './plugins/dynamicRoutesPlugin'
 import { rewritesPlugin } from './plugins/rewritesPlugin'
-import { offlineSearchPlugin } from './plugins/offlineSearchPlugin.js'
+import { localSearchPlugin } from './plugins/localSearchPlugin.js'
 import { serializeFunctions, deserializeFunctions } from './utils/fnSerialize'
 
 declare module 'vite' {
@@ -361,7 +361,7 @@ export async function createVitePressPlugin(
     vuePlugin,
     webFontsPlugin(siteConfig.useWebFonts),
     ...(userViteConfig?.plugins || []),
-    await offlineSearchPlugin(siteConfig),
+    await localSearchPlugin(siteConfig),
     staticDataPlugin,
     await dynamicRoutesPlugin(siteConfig)
   ]
diff --git a/src/node/plugins/offlineSearchPlugin.ts b/src/node/plugins/localSearchPlugin.ts
similarity index 95%
rename from src/node/plugins/offlineSearchPlugin.ts
rename to src/node/plugins/localSearchPlugin.ts
index de62061d..cbbe6469 100644
--- a/src/node/plugins/offlineSearchPlugin.ts
+++ b/src/node/plugins/localSearchPlugin.ts
@@ -7,9 +7,9 @@ import type { SiteConfig } from '../config'
 import { createMarkdownRenderer } from '../markdown/markdown.js'
 import { resolveSiteDataByRoute } from '../shared.js'
 
-const debug = _debug('vitepress:offline-search')
+const debug = _debug('vitepress:local-search')
 
-const OFFLINE_SEARCH_INDEX_ID = '@offlineSearchIndex'
+const OFFLINE_SEARCH_INDEX_ID = '@localSearchIndex'
 const OFFLINE_SEARCH_INDEX_REQUEST_PATH = '/' + OFFLINE_SEARCH_INDEX_ID
 
 interface IndexObject {
@@ -19,15 +19,15 @@ interface IndexObject {
   titles: string[]
 }
 
-export async function offlineSearchPlugin(
+export async function localSearchPlugin(
   siteConfig: SiteConfig
 ): Promise<Plugin> {
   if (
     siteConfig.userConfig.themeConfig?.algolia ||
-    !siteConfig.userConfig.themeConfig?.offlineSearch
+    !siteConfig.userConfig.themeConfig?.localSearch
   ) {
     return {
-      name: 'vitepress:offline-search',
+      name: 'vitepress:local-search',
       resolveId(id) {
         if (id.startsWith(OFFLINE_SEARCH_INDEX_ID)) {
           return `/${id}`
@@ -146,7 +146,7 @@ export async function offlineSearchPlugin(
   }
 
   return {
-    name: 'vitepress:offline-search',
+    name: 'vitepress:local-search',
 
     configureServer(_server) {
       server = _server
@@ -182,7 +182,7 @@ export async function offlineSearchPlugin(
           records.push(
             `${JSON.stringify(
               locale
-            )}: () => import('@offlineSearchIndex${locale}')`
+            )}: () => import('@localSearchIndex${locale}')`
           )
         }
         return `export default {${records.join(',')}}`
diff --git a/types/default-theme.d.ts b/types/default-theme.d.ts
index 67337d07..0aa92014 100644
--- a/types/default-theme.d.ts
+++ b/types/default-theme.d.ts
@@ -1,5 +1,5 @@
 import { DocSearchProps } from './docsearch.js'
-import { OfflineSearchTranslations } from './offline-search.js'
+import { LocalSearchTranslations } from './local-search.js'
 
 export namespace DefaultTheme {
   export interface Config {
@@ -107,9 +107,9 @@ export namespace DefaultTheme {
     algolia?: AlgoliaSearchOptions
 
     /**
-     * The offline search options. Set to `true` or an object to enable, `false` to disable.
+     * The local search options. Set to `true` or an object to enable, `false` to disable.
      */
-    offlineSearch?: OfflineSearchOptions | boolean
+    localSearch?: LocalSearchOptions | boolean
 
     /**
      * The carbon ads options. Leave it undefined to disable the ads feature.
@@ -301,11 +301,11 @@ export namespace DefaultTheme {
     locales?: Record<string, Partial<DocSearchProps>>
   }
 
-  // offline search ------------------------------------------------------------
+  // local search ------------------------------------------------------------
 
-  export interface OfflineSearchOptions {
-    translations?: OfflineSearchTranslations
-    locales?: Record<string, Partial<Omit<OfflineSearchOptions, 'locales'>>>
+  export interface LocalSearchOptions {
+    translations?: LocalSearchTranslations
+    locales?: Record<string, Partial<Omit<LocalSearchOptions, 'locales'>>>
   }
 
   // carbon ads ----------------------------------------------------------------
diff --git a/types/offline-search.d.ts b/types/local-search.d.ts
similarity index 91%
rename from types/offline-search.d.ts
rename to types/local-search.d.ts
index 7b162c1e..c0afa557 100644
--- a/types/offline-search.d.ts
+++ b/types/local-search.d.ts
@@ -1,4 +1,4 @@
-export interface OfflineSearchTranslations {
+export interface LocalSearchTranslations {
   button?: ButtonTranslations
   modal?: ModalTranslations
 }