diff --git a/rest_framework/fields.py b/rest_framework/fields.py
index 51b216787..ad710b967 100644
--- a/rest_framework/fields.py
+++ b/rest_framework/fields.py
@@ -1212,8 +1212,9 @@ class DateTimeField(Field):
         if output_format is None or isinstance(value, six.string_types):
             return value
 
+        value = self.enforce_timezone(value)
+
         if output_format.lower() == ISO_8601:
-            value = self.enforce_timezone(value)
             value = value.isoformat()
             if value.endswith('+00:00'):
                 value = value[:-6] + 'Z'
diff --git a/tests/test_fields.py b/tests/test_fields.py
index 35593a283..6a694092a 100644
--- a/tests/test_fields.py
+++ b/tests/test_fields.py
@@ -9,7 +9,7 @@ import pytest
 from django.http import QueryDict
 from django.test import TestCase, override_settings
 from django.utils import six
-from django.utils.timezone import activate, deactivate, utc
+from django.utils.timezone import activate, deactivate, override, utc
 
 import rest_framework
 from rest_framework import compat, serializers
@@ -1296,6 +1296,27 @@ class TestDefaultTZDateTimeField(TestCase):
         assert self.field.default_timezone() == utc
 
 
+@pytest.mark.skipif(pytz is None, reason='pytz not installed')
+@override_settings(TIME_ZONE='UTC', USE_TZ=True)
+class TestCustomTimezoneForDateTimeField(TestCase):
+
+    @classmethod
+    def setup_class(cls):
+        cls.kolkata = pytz.timezone('Asia/Kolkata')
+        cls.date_format = '%d/%m/%Y %H:%M'
+
+    def test_should_render_date_time_in_default_timezone(self):
+        field = serializers.DateTimeField(default_timezone=self.kolkata, format=self.date_format)
+        dt = datetime.datetime(2018, 2, 8, 14, 15, 16, tzinfo=pytz.utc)
+
+        with override(self.kolkata):
+            rendered_date = field.to_representation(dt)
+
+        rendered_date_in_timezone = dt.astimezone(self.kolkata).strftime(self.date_format)
+
+        assert rendered_date == rendered_date_in_timezone
+
+
 class TestNaiveDayLightSavingTimeTimeZoneDateTimeField(FieldValues):
     """
     Invalid values for `DateTimeField` with datetime in DST shift (non-existing or ambiguous) and timezone with DST.