diff --git a/anymail/webhooks/postmark.py b/anymail/webhooks/postmark.py
index be34b4a..466bdfc 100644
--- a/anymail/webhooks/postmark.py
+++ b/anymail/webhooks/postmark.py
@@ -62,6 +62,8 @@ class PostmarkTrackingWebhookView(PostmarkBaseWebhookView):
         except KeyError:
             if 'FirstOpen' in esp_event:
                 event_type = EventType.OPENED
+            elif 'DeliveredAt' in esp_event:
+                event_type = EventType.DELIVERED
             elif 'From' in esp_event:
                 # This is an inbound event
                 raise AnymailConfigurationError(
@@ -73,7 +75,7 @@ class PostmarkTrackingWebhookView(PostmarkBaseWebhookView):
         recipient = getfirst(esp_event, ['Email', 'Recipient'], None)  # Email for bounce; Recipient for open
 
         try:
-            timestr = getfirst(esp_event, ['BouncedAt', 'ReceivedAt'])
+            timestr = getfirst(esp_event, ['DeliveredAt', 'BouncedAt', 'ReceivedAt'])
         except KeyError:
             timestamp = None
         else:
diff --git a/docs/esps/postmark.rst b/docs/esps/postmark.rst
index 14f5c9a..e00b165 100644
--- a/docs/esps/postmark.rst
+++ b/docs/esps/postmark.rst
@@ -177,8 +177,8 @@ Status tracking webhooks
 If you are using Anymail's normalized :ref:`status tracking <event-tracking>`, enter
 the url in your `Postmark account settings`_, under Servers > *your server name* >
 Settings > Outbound > Webhooks. You should enter this same Anymail tracking URL
-for both the "Bounce webhook" and "Opens webhook" (if you want to receive both
-types of events):
+for all of the "Delivery webhook," "Bounce webhook," and "Opens webhook" (if you
+want to receive all these types of events):
 
    :samp:`https://{random}:{random}@{yoursite.example.com}/anymail/postmark/tracking/`
 
@@ -192,11 +192,12 @@ If you use multiple Postmark servers, you'll need to repeat entering the webhook
 settings for each of them.
 
 Postmark will report these Anymail :attr:`~anymail.signals.AnymailTrackingEvent.event_type`\s:
-rejected, failed, bounced, deferred, autoresponded, opened, complained, unsubscribed, subscribed.
-(Postmark does not support sent, delivered, or clicked events.)
+rejected, failed, bounced, deferred, delivered, autoresponded, opened, complained,
+unsubscribed, subscribed. (Postmark does not support sent or clicked events.)
 
 The event's :attr:`~anymail.signals.AnymailTrackingEvent.esp_event` field will be
-a `dict` of Postmark `bounce <http://developer.postmarkapp.com/developer-bounce-webhook.html>`_
+a `dict` of Postmark `delivery <http://developer.postmarkapp.com/developer-delivery-webhook.html>`_,
+`bounce <http://developer.postmarkapp.com/developer-bounce-webhook.html>`_,
 or `open <http://developer.postmarkapp.com/developer-open-webhook.html>`_ webhook data.
 
 .. _Postmark account settings: https://account.postmarkapp.com/servers
diff --git a/tests/test_postmark_webhooks.py b/tests/test_postmark_webhooks.py
index 40a7a11..85c657e 100644
--- a/tests/test_postmark_webhooks.py
+++ b/tests/test_postmark_webhooks.py
@@ -55,6 +55,30 @@ class PostmarkDeliveryTestCase(WebhookTestCase):
         self.assertEqual(event.mta_response,
                          "smtp;550 5.1.1 The email account that you tried to reach does not exist.")
 
+    def test_delivered_event(self):
+        raw_event = {
+            "ServerId": 23,
+            "MessageID": "883953f4-6105-42a2-a16a-77a8eac79483",
+            "Recipient": "recipient@example.com",
+            "Tag": "welcome-email",
+            "DeliveredAt": "2014-08-01T13:28:10.2735393-04:00",
+            "Details": "Test delivery webhook details"
+        }
+        response = self.client.post('/anymail/postmark/tracking/',
+                                    content_type='application/json', data=json.dumps(raw_event))
+        self.assertEqual(response.status_code, 200)
+        kwargs = self.assert_handler_called_once_with(self.tracking_handler, sender=PostmarkTrackingWebhookView,
+                                                      event=ANY, esp_name='Postmark')
+        event = kwargs['event']
+        self.assertIsInstance(event, AnymailTrackingEvent)
+        self.assertEqual(event.event_type, "delivered")
+        self.assertEqual(event.esp_event, raw_event)
+        self.assertEqual(event.timestamp, datetime(2014, 8, 1, 13, 28, 10, microsecond=273539,
+                                                   tzinfo=get_fixed_timezone(-4*60)))
+        self.assertEqual(event.message_id, "883953f4-6105-42a2-a16a-77a8eac79483")
+        self.assertEqual(event.recipient, "recipient@example.com")
+        self.assertEqual(event.tags, ["welcome-email"])
+
     def test_open_event(self):
         raw_event = {
             "FirstOpen": True,