diff --git a/aiogram/types/chat.py b/aiogram/types/chat.py
index 936b2126..08d935e5 100644
--- a/aiogram/types/chat.py
+++ b/aiogram/types/chat.py
@@ -64,6 +64,18 @@ class Chat(base.TelegramObject):
 
         return f"tg://user?id={self.id}"
 
+    @property
+    def shifted_id(self) -> int:
+        """
+        Get shifted id of chat, e.g. for private links
+
+        For example: -1001122334455 -> 1122334455
+        """
+        if self.type == ChatType.PRIVATE:
+            raise TypeError('`shifted_id` property is not available for private chats')
+        shift = -1_000_000_000_000
+        return shift - self.id
+
     def get_mention(self, name=None, as_html=True) -> base.String:
         if name is None:
             name = self.mention
diff --git a/aiogram/types/message.py b/aiogram/types/message.py
index b776e74e..badf1d51 100644
--- a/aiogram/types/message.py
+++ b/aiogram/types/message.py
@@ -230,12 +230,19 @@ class Message(base.TelegramObject):
 
         :return: str
         """
-        if self.chat.type not in [ChatType.SUPER_GROUP, ChatType.CHANNEL]:
+        if ChatType.is_private(self.chat):
             raise TypeError('Invalid chat type!')
-        elif not self.chat.username:
-            raise TypeError('This chat does not have @username')
 
-        return f"https://t.me/{self.chat.username}/{self.message_id}"
+        url = 'https://t.me/'
+        if self.chat.username:
+            # Generates public link
+            url += f'{self.chat.username}/'
+        else:
+            # Generates private link available for chat members
+            url += f'c/{self.chat.shifted_id}/'
+        url += f'{self.message_id}'
+
+        return url
 
     def link(self, text, as_html=True) -> str:
         """