diff --git a/django/forms/widgets.py b/django/forms/widgets.py
index f8246d60bf..67befcfbe0 100644
--- a/django/forms/widgets.py
+++ b/django/forms/widgets.py
@@ -397,60 +397,27 @@ class Textarea(Widget):
                            force_text(value))
 
 
-class DateInput(TextInput):
+class DateTimeBaseInput(TextInput):
+    format_key = ''
     def __init__(self, attrs=None, format=None):
-        super(DateInput, self).__init__(attrs)
-        if format:
-            self.format = format
-            self.manual_format = True
-        else:
-            self.format = formats.get_format('DATE_INPUT_FORMATS')[0]
-            self.manual_format = False
+        super(DateTimeBaseInput, self).__init__(attrs)
+        self.format = format if format else None
 
     def _format_value(self, value):
-        if self.is_localized and not self.manual_format:
-            return formats.localize_input(value)
-        elif hasattr(value, 'strftime'):
-            value = datetime_safe.new_date(value)
-            return value.strftime(self.format)
-        return value
+        return formats.localize_input(value,
+            self.format or formats.get_format(self.format_key)[0])
 
 
-class DateTimeInput(TextInput):
-    def __init__(self, attrs=None, format=None):
-        super(DateTimeInput, self).__init__(attrs)
-        if format:
-            self.format = format
-            self.manual_format = True
-        else:
-            self.format = formats.get_format('DATETIME_INPUT_FORMATS')[0]
-            self.manual_format = False
-
-    def _format_value(self, value):
-        if self.is_localized and not self.manual_format:
-            return formats.localize_input(value)
-        elif hasattr(value, 'strftime'):
-            value = datetime_safe.new_datetime(value)
-            return value.strftime(self.format)
-        return value
+class DateInput(DateTimeBaseInput):
+    format_key = 'DATE_INPUT_FORMATS'
 
 
-class TimeInput(TextInput):
-    def __init__(self, attrs=None, format=None):
-        super(TimeInput, self).__init__(attrs)
-        if format:
-            self.format = format
-            self.manual_format = True
-        else:
-            self.format = formats.get_format('TIME_INPUT_FORMATS')[0]
-            self.manual_format = False
+class DateTimeInput(DateTimeBaseInput):
+    format_key = 'DATETIME_INPUT_FORMATS'
 
-    def _format_value(self, value):
-        if self.is_localized and not self.manual_format:
-            return formats.localize_input(value)
-        elif hasattr(value, 'strftime'):
-            return value.strftime(self.format)
-        return value
+
+class TimeInput(DateTimeBaseInput):
+    format_key = 'TIME_INPUT_FORMATS'
 
 
 # Defined at module level so that CheckboxInput is picklable (#17976)
diff --git a/tests/forms_tests/tests/test_widgets.py b/tests/forms_tests/tests/test_widgets.py
index 2d667791e8..9cb36d66a2 100644
--- a/tests/forms_tests/tests/test_widgets.py
+++ b/tests/forms_tests/tests/test_widgets.py
@@ -12,7 +12,7 @@ from django.forms.widgets import RadioFieldRenderer
 from django.utils import formats
 from django.utils.safestring import mark_safe
 from django.utils import six
-from django.utils.translation import activate, deactivate
+from django.utils.translation import activate, deactivate, override
 from django.test import TestCase
 from django.test.utils import override_settings
 from django.utils.encoding import python_2_unicode_compatible, force_text
@@ -997,26 +997,30 @@ class FormsI18NWidgetsTestCase(TestCase):
     def test_datetimeinput(self):
         w = DateTimeInput()
         d = datetime.datetime(2007, 9, 17, 12, 51, 34, 482548)
-        w.is_localized = True
         self.assertHTMLEqual(w.render('date', d), '<input type="text" name="date" value="17.09.2007 12:51:34" />')
 
     def test_dateinput(self):
         w = DateInput()
         d = datetime.date(2007, 9, 17)
-        w.is_localized = True
         self.assertHTMLEqual(w.render('date', d), '<input type="text" name="date" value="17.09.2007" />')
 
     def test_timeinput(self):
         w = TimeInput()
         t = datetime.time(12, 51, 34, 482548)
-        w.is_localized = True
         self.assertHTMLEqual(w.render('time', t), '<input type="text" name="time" value="12:51:34" />')
 
+    def test_datetime_locale_aware(self):
+        w = DateTimeInput()
+        d = datetime.datetime(2007, 9, 17, 12, 51, 34, 482548)
+        with self.settings(USE_L10N=False):
+            self.assertHTMLEqual(w.render('date', d), '<input type="text" name="date" value="2007-09-17 12:51:34" />')
+        with override('es'):
+            self.assertHTMLEqual(w.render('date', d), '<input type="text" name="date" value="17/09/2007 12:51:34" />')
+
     def test_splithiddendatetime(self):
         from django.forms.widgets import SplitHiddenDateTimeWidget
 
         w = SplitHiddenDateTimeWidget()
-        w.is_localized = True
         self.assertHTMLEqual(w.render('date', datetime.datetime(2007, 9, 17, 12, 51)), '<input type="hidden" name="date_0" value="17.09.2007" /><input type="hidden" name="date_1" value="12:51:00" />')
 
     def test_nullbooleanselect(self):