diff --git a/src/testdir/test_python2.vim b/src/testdir/test_python2.vim
index c438ba0..d79400d 100644
--- a/src/testdir/test_python2.vim
+++ b/src/testdir/test_python2.vim
@@ -36,3 +36,30 @@
   normal j
   call assert_equal([2, 6], [line('.'), col('.')])
 endfunc
+
+func Test_vim_function()
+  " Check creating vim.Function object
+  py import vim
+
+  func s:foo()
+    return matchstr(expand('<sfile>'), '<SNR>\zs\d\+_foo$')
+  endfunc
+  let name = '<SNR>' . s:foo()
+
+  try
+    py f = vim.bindeval('function("s:foo")')
+    call assert_equal(name, pyeval('f.name'))
+  catch
+    call assert_false(v:exception)
+  endtry
+
+  try
+    py f = vim.Function('\x80\xfdR' + vim.eval('s:foo()'))
+    call assert_equal(name, pyeval('f.name'))
+  catch
+    call assert_false(v:exception)
+  endtry
+
+  py del f
+  delfunc s:foo
+endfunc
diff --git a/src/testdir/test_python3.vim b/src/testdir/test_python3.vim
index 69ad802..344034a 100644
--- a/src/testdir/test_python3.vim
+++ b/src/testdir/test_python3.vim
@@ -36,3 +36,30 @@
   normal j
   call assert_equal([2, 6], [line('.'), col('.')])
 endfunc
+
+func Test_vim_function()
+  " Check creating vim.Function object
+  py3 import vim
+
+  func s:foo()
+    return matchstr(expand('<sfile>'), '<SNR>\zs\d\+_foo$')
+  endfunc
+  let name = '<SNR>' . s:foo()
+
+  try
+    py3 f = vim.bindeval('function("s:foo")')
+    call assert_equal(name, py3eval('f.name'))
+  catch
+    call assert_false(v:exception)
+  endtry
+
+  try
+    py3 f = vim.Function(b'\x80\xfdR' + vim.eval('s:foo()').encode())
+    call assert_equal(name, py3eval('f.name'))
+  catch
+    call assert_false(v:exception)
+  endtry
+
+  py3 del f
+  delfunc s:foo
+endfunc