diff --git a/runtime/doc/filetype.txt b/runtime/doc/filetype.txt
index 7f338a5..a2c757f 100644
--- a/runtime/doc/filetype.txt
+++ b/runtime/doc/filetype.txt
@@ -1,4 +1,4 @@
-*filetype.txt*	For Vim version 9.1.  Last change: 2025 Feb 20
+*filetype.txt*	For Vim version 9.1.  Last change: 2025 Feb 25
 
 
 		  VIM REFERENCE MANUAL    by Bram Moolenaar
@@ -744,12 +744,21 @@
 	import autoload 'dist/json.vim'
 	setl formatexpr=json.FormatExpr()
 
-LUA							*ft-lua-plugin*
+LUA					*ft-lua-plugin* *g:lua_folding*
 
 You can enable folding of Lua functions using |fold-expr| by: >
 
 	let g:lua_folding = 1
+<					*g:lua_version* *g:lua_subversion*
+Lua filetype's 'includeexpr' and |ft-lua-syntax| highlighting use the global
+variables "g:lua_version" and "g:lua_subversion" to determine the version of
+Lua to use (5.3 is the default)
 
+For example, to use Lua 5.1, set the variables like this: >
+
+	let g:lua_version = 5
+	let g:lua_subversion = 1
+<
 MAIL							*ft-mail-plugin*
 
 Options:
diff --git a/runtime/doc/syntax.txt b/runtime/doc/syntax.txt
index d8c4b08..c4d7afc 100644
--- a/runtime/doc/syntax.txt
+++ b/runtime/doc/syntax.txt
@@ -1,4 +1,4 @@
-*syntax.txt*	For Vim version 9.1.  Last change: 2025 Feb 23
+*syntax.txt*	For Vim version 9.1.  Last change: 2025 Feb 25
 
 
 		  VIM REFERENCE MANUAL	  by Bram Moolenaar
@@ -2343,13 +2343,9 @@
 
 LUA						*lua.vim* *ft-lua-syntax*
 
-The Lua syntax file can be used for versions 4.0, 5.0, 5.1 and 5.2 (5.2 is
-the default). You can select one of these versions using the global variables
-lua_version and lua_subversion. For example, to activate Lua
-5.1 syntax highlighting, set the variables like this: >
-
-	:let lua_version = 5
-	:let lua_subversion = 1
+The Lua syntax file can be used for versions 4.0, 5.0+. You can select one of
+these versions using the global variables |g:lua_version| and
+|g:lua_subversion|.
 
 
 MAIL						*mail.vim* *ft-mail.vim*
diff --git a/runtime/doc/tags b/runtime/doc/tags
index 410807e..49a849e 100644
--- a/runtime/doc/tags
+++ b/runtime/doc/tags
@@ -7625,6 +7625,9 @@
 g:html_use_xhtml	syntax.txt	/*g:html_use_xhtml*
 g:html_whole_filler	syntax.txt	/*g:html_whole_filler*
 g:lf_shell_syntax	syntax.txt	/*g:lf_shell_syntax*
+g:lua_folding	filetype.txt	/*g:lua_folding*
+g:lua_subversion	filetype.txt	/*g:lua_subversion*
+g:lua_version	filetype.txt	/*g:lua_version*
 g:markdown_fenced_languages	syntax.txt	/*g:markdown_fenced_languages*
 g:markdown_minlines	syntax.txt	/*g:markdown_minlines*
 g:markdown_syntax_conceal	syntax.txt	/*g:markdown_syntax_conceal*
diff --git a/runtime/ftplugin/lua.vim b/runtime/ftplugin/lua.vim
index 22b9986..9687d55 100644
--- a/runtime/ftplugin/lua.vim
+++ b/runtime/ftplugin/lua.vim
@@ -5,13 +5,24 @@
 " Contributor:		Dorai Sitaram <ds26@gte.com>
 "			C.D. MacEachern <craig.daniel.maceachern@gmail.com>
 "			Tyler Miller <tmillr@proton.me>
-" Last Change:		2024 Dec 03
+"			Phạm Bình An <phambinhanctb2004@gmail.com>
+" Last Change:		2025 Feb 25
 
 if exists("b:did_ftplugin")
   finish
 endif
 let b:did_ftplugin = 1
 
+" keep in sync with syntax/lua.vim
+if !exists("lua_version")
+  " Default is lua 5.3
+  let lua_version = 5
+  let lua_subversion = 3
+elseif !exists("lua_subversion")
+  " lua_version exists, but lua_subversion doesn't. In this case set it to 0
+  let lua_subversion = 0
+endif
+
 let s:cpo_save = &cpo
 set cpo&vim
 
@@ -21,11 +32,11 @@
 
 let &l:define = '\<function\|\<local\%(\s\+function\)\='
 
-" TODO: handle init.lua
-setlocal includeexpr=tr(v:fname,'.','/')
+let &l:include = '\v<((do|load)file|require)[^''"]*[''"]\zs[^''"]+'
+setlocal includeexpr=LuaInclude(v:fname)
 setlocal suffixesadd=.lua
 
-let b:undo_ftplugin = "setlocal cms< com< def< fo< inex< sua<"
+let b:undo_ftplugin = "setlocal cms< com< def< fo< inc< inex< sua<"
 
 if exists("loaded_matchit") && !exists("b:match_words")
   let b:match_ignorecase = 0
@@ -75,7 +86,19 @@
       \ ['local\s+function\s+.+', 'end'],
       \ ]
 
-function! LuaFold(lnum) abort
+function LuaInclude(fname) abort
+  let lua_ver = str2float(printf("%d.%02d", g:lua_version, g:lua_subversion))
+  let fname = tr(a:fname, '.', '/')
+  let paths = lua_ver >= 5.03 ?  [ fname.'.lua', fname.'/init.lua' ] : [ fname.'.lua' ]
+  for path in paths
+    if filereadable(path)
+      return path
+    endif
+  endfor
+  return fname
+endfunction
+
+function LuaFold(lnum) abort
   if b:lua_lasttick == b:changedtick
     return b:lua_foldlists[a:lnum-1]
   endif
diff --git a/runtime/syntax/lua.vim b/runtime/syntax/lua.vim
index 9c5a490..f5851d0 100644
--- a/runtime/syntax/lua.vim
+++ b/runtime/syntax/lua.vim
@@ -2,7 +2,7 @@
 " Language:     Lua 4.0, Lua 5.0, Lua 5.1, Lua 5.2 and Lua 5.3
 " Maintainer:   Marcus Aurelius Farias <masserahguard-lua 'at' yahoo com>
 " First Author: Carlos Augusto Teixeira Mendes <cmendes 'at' inf puc-rio br>
-" Last Change:  2022 Sep 07
+" Last Change:  2025 Feb 25
 " Options:      lua_version = 4 or 5
 "               lua_subversion = 0 (for 4.0 or 5.0)
 "                               or 1, 2, 3 (for 5.1, 5.2 or 5.3)
@@ -16,6 +16,7 @@
 let s:cpo_save = &cpo
 set cpo&vim
 
+" keep in sync with ftplugin/lua.vim
 if !exists("lua_version")
   " Default is lua 5.3
   let lua_version = 5