diff --git a/telethon/client/messages.py b/telethon/client/messages.py
index 468962953..5f0afc61f 100644
--- a/telethon/client/messages.py
+++ b/telethon/client/messages.py
@@ -1066,7 +1066,7 @@ def get_key(m):
     async def edit_message(
             self: 'TelegramClient',
             entity: 'typing.Union[hints.EntityLike, types.Message]',
-            message: 'hints.MessageLike' = None,
+            message: 'typing.Union[int, types.Message, types.InputMessageID, str]' = None,
             text: str = None,
             *,
             parse_mode: str = (),
@@ -1096,7 +1096,7 @@ async def edit_message(
                 which is the only way to edit messages that were sent
                 after the user selects an inline query result.
 
-            message (`int` | `Message <telethon.tl.custom.message.Message>` | `str`):
+            message (`int` | `Message <telethon.tl.custom.message.Message>` | :tl:`InputMessageID` | `str`):
                 The ID of the message (or `Message
                 <telethon.tl.custom.message.Message>` itself) to be edited.
                 If the `entity` was a `Message
diff --git a/telethon/utils.py b/telethon/utils.py
index 1c939e98c..7f5e3e230 100644
--- a/telethon/utils.py
+++ b/telethon/utils.py
@@ -600,6 +600,9 @@ def get_message_id(message):
     if isinstance(message, int):
         return message
 
+    if isinstance(message, types.InputMessageID):
+        return message.id
+
     try:
         if message.SUBCLASS_OF_ID == 0x790009e3:
             # hex(crc32(b'Message')) = 0x790009e3