diff --git a/telethon/client/telegrambaseclient.py b/telethon/client/telegrambaseclient.py
index bd05bd12..53d8a4e3 100644
--- a/telethon/client/telegrambaseclient.py
+++ b/telethon/client/telegrambaseclient.py
@@ -94,6 +94,17 @@ class TelegramBaseClient(abc.ABC):
             Whether reconnection should be retried `connection_retries`
             times automatically if Telegram disconnects us or not.
 
+        sequential_updates (`bool`, optional):
+            By default every incoming update will create a new task, so
+            you can handle several updates in parallel. Some scripts need
+            the order in which updates are processed to be sequential, and
+            this setting allows them to do so.
+
+            If set to ``True``, incoming updates will be put in a queue
+            and processed sequentially. This means your event handlers
+            should *not* perform long-running operations since new
+            updates are put inside of an unbounded queue.
+
         flood_sleep_threshold (`int` | `float`, optional):
             The threshold below which the library should automatically
             sleep on flood wait errors (inclusive). For instance, if a
@@ -141,6 +152,7 @@ class TelegramBaseClient(abc.ABC):
                  request_retries=5,
                  connection_retries=5,
                  auto_reconnect=True,
+                 sequential_updates=False,
                  flood_sleep_threshold=60,
                  device_model=None,
                  system_version=None,
@@ -230,6 +242,13 @@ class TelegramBaseClient(abc.ABC):
         self._last_request = time.time()
         self._channel_pts = {}
 
+        if sequential_updates:
+            self._updates_queue = asyncio.Queue()
+            self._dispatching_updates_queue = asyncio.Event()
+        else:
+            self._updates_queue = None
+            self._dispatching_updates_queue = None
+
         # Start with invalid state (-1) so we can have somewhere to store
         # the state, but also be able to determine if we are authorized.
         self._state = types.updates.State(-1, 0, datetime.now(), 0, -1)
diff --git a/telethon/client/updates.py b/telethon/client/updates.py
index fe47e87d..220a08ae 100644
--- a/telethon/client/updates.py
+++ b/telethon/client/updates.py
@@ -179,7 +179,13 @@ class UpdateMethods(UserMethods):
             self._handle_update(update.update)
         else:
             update._entities = getattr(update, '_entities', {})
-            self._loop.create_task(self._dispatch_update(update))
+            if self._updates_queue is None:
+                self._loop.create_task(self._dispatch_update(update))
+            else:
+                self._updates_queue.put_nowait(update)
+                if not self._dispatching_updates_queue.is_set():
+                    self._dispatching_updates_queue.set()
+                    self._loop.create_task(self._dispatch_queue_updates())
 
         need_diff = False
         if hasattr(update, 'pts'):
@@ -230,6 +236,12 @@ class UpdateMethods(UserMethods):
 
                 await self(functions.updates.GetStateRequest())
 
+    async def _dispatch_queue_updates(self):
+        while not self._updates_queue.empty():
+            await self._dispatch_update(self._updates_queue.get_nowait())
+
+        self._dispatching_updates_queue.clear()
+
     async def _dispatch_update(self, update):
         if self._events_pending_resolve:
             if self._event_resolve_lock.locked():