diff --git a/django/forms/widgets.py b/django/forms/widgets.py
index c468e7d799..7ba916b821 100644
--- a/django/forms/widgets.py
+++ b/django/forms/widgets.py
@@ -855,12 +855,18 @@ class SplitDateTimeWidget(MultiWidget):
     supports_microseconds = False
     template_name = 'django/forms/widgets/splitdatetime.html'
 
-    def __init__(self, attrs=None, date_format=None, time_format=None):
+    def __init__(self, attrs=None, date_format=None, time_format=None, date_attrs=None, time_attrs=None):
         widgets = (
-            DateInput(attrs=attrs, format=date_format),
-            TimeInput(attrs=attrs, format=time_format),
+            DateInput(
+                attrs=attrs if date_attrs is None else date_attrs,
+                format=date_format,
+            ),
+            TimeInput(
+                attrs=attrs if time_attrs is None else time_attrs,
+                format=time_format,
+            ),
         )
-        super().__init__(widgets, attrs)
+        super().__init__(widgets)
 
     def decompress(self, value):
         if value:
@@ -875,8 +881,8 @@ class SplitHiddenDateTimeWidget(SplitDateTimeWidget):
     """
     template_name = 'django/forms/widgets/splithiddendatetime.html'
 
-    def __init__(self, attrs=None, date_format=None, time_format=None):
-        super().__init__(attrs, date_format, time_format)
+    def __init__(self, attrs=None, date_format=None, time_format=None, date_attrs=None, time_attrs=None):
+        super().__init__(attrs, date_format, time_format, date_attrs, time_attrs)
         for widget in self.widgets:
             widget.input_type = 'hidden'
 
diff --git a/docs/ref/forms/widgets.txt b/docs/ref/forms/widgets.txt
index 9f3ea2840c..e32cefb0da 100644
--- a/docs/ref/forms/widgets.txt
+++ b/docs/ref/forms/widgets.txt
@@ -840,7 +840,7 @@ Composite widgets
     for the date, and :class:`TimeInput` for the time. Must be used with
     :class:`SplitDateTimeField` rather than :class:`DateTimeField`.
 
-    ``SplitDateTimeWidget`` has two optional attributes:
+    ``SplitDateTimeWidget`` has several optional arguments:
 
     .. attribute:: SplitDateTimeWidget.date_format
 
@@ -850,6 +850,16 @@ Composite widgets
 
         Similar to :attr:`TimeInput.format`
 
+    .. attribute:: SplitDateTimeWidget.date_attrs
+    .. attribute:: SplitDateTimeWidget.time_attrs
+
+        .. versionadded:: 2.0
+
+        Similar to :attr:`Widget.attrs`. A dictionary containing HTML
+        attributes to be set on the rendered :class:`DateInput` and
+        :class:`TimeInput` widgets, respectively. If these attributes aren't
+        set, :attr:`Widget.attrs` is used instead.
+
 ``SplitHiddenDateTimeWidget``
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
diff --git a/docs/releases/2.0.txt b/docs/releases/2.0.txt
index 8afafb200d..6b775bec80 100644
--- a/docs/releases/2.0.txt
+++ b/docs/releases/2.0.txt
@@ -136,11 +136,14 @@ File Uploads
 
 * ...
 
-
 Forms
 ~~~~~
 
-* ...
+* The new ``date_attrs`` and ``time_attrs`` arguments for
+  :class:`~django.forms.SplitDateTimeWidget` and
+  :class:`~django.forms.SplitHiddenDateTimeWidget` allow specifying different
+  HTML attributes for the ``DateInput`` and ``TimeInput`` (or hidden)
+  subwidgets.
 
 Generic Views
 ~~~~~~~~~~~~~
diff --git a/tests/forms_tests/widget_tests/test_splitdatetimewidget.py b/tests/forms_tests/widget_tests/test_splitdatetimewidget.py
index 172bcbbe8d..3b06fd5958 100644
--- a/tests/forms_tests/widget_tests/test_splitdatetimewidget.py
+++ b/tests/forms_tests/widget_tests/test_splitdatetimewidget.py
@@ -37,6 +37,18 @@ class SplitDateTimeWidgetTest(WidgetTest):
             '<input type="text" class="pretty" value="07:30:00" name="date_1" />'
         ))
 
+    def test_constructor_different_attrs(self):
+        html = (
+            '<input type="text" class="foo" value="2006-01-10" name="date_0" />'
+            '<input type="text" class="bar" value="07:30:00" name="date_1" />'
+        )
+        widget = SplitDateTimeWidget(date_attrs={'class': 'foo'}, time_attrs={'class': 'bar'})
+        self.check_html(widget, 'date', datetime(2006, 1, 10, 7, 30), html=html)
+        widget = SplitDateTimeWidget(date_attrs={'class': 'foo'}, attrs={'class': 'bar'})
+        self.check_html(widget, 'date', datetime(2006, 1, 10, 7, 30), html=html)
+        widget = SplitDateTimeWidget(time_attrs={'class': 'bar'}, attrs={'class': 'foo'})
+        self.check_html(widget, 'date', datetime(2006, 1, 10, 7, 30), html=html)
+
     def test_formatting(self):
         """
         Use 'date_format' and 'time_format' to change the way a value is
diff --git a/tests/forms_tests/widget_tests/test_splithiddendatetimewidget.py b/tests/forms_tests/widget_tests/test_splithiddendatetimewidget.py
index 07ee15690c..e3adb11520 100644
--- a/tests/forms_tests/widget_tests/test_splithiddendatetimewidget.py
+++ b/tests/forms_tests/widget_tests/test_splithiddendatetimewidget.py
@@ -40,3 +40,15 @@ class SplitHiddenDateTimeWidgetTest(WidgetTest):
             <input type="hidden" name="date_1" value="12:51:00" />
             """
         ))
+
+    def test_constructor_different_attrs(self):
+        html = (
+            '<input type="hidden" class="foo" value="2006-01-10" name="date_0" />'
+            '<input type="hidden" class="bar" value="07:30:00" name="date_1" />'
+        )
+        widget = SplitHiddenDateTimeWidget(date_attrs={'class': 'foo'}, time_attrs={'class': 'bar'})
+        self.check_html(widget, 'date', datetime(2006, 1, 10, 7, 30), html=html)
+        widget = SplitHiddenDateTimeWidget(date_attrs={'class': 'foo'}, attrs={'class': 'bar'})
+        self.check_html(widget, 'date', datetime(2006, 1, 10, 7, 30), html=html)
+        widget = SplitHiddenDateTimeWidget(time_attrs={'class': 'bar'}, attrs={'class': 'foo'})
+        self.check_html(widget, 'date', datetime(2006, 1, 10, 7, 30), html=html)