diff --git a/rest_framework/fields.py b/rest_framework/fields.py
index 7f4c83b5df..3a5df4abea 100644
--- a/rest_framework/fields.py
+++ b/rest_framework/fields.py
@@ -690,6 +690,12 @@ class BooleanField(Field):
     }
     NULL_VALUES = {'null', 'Null', 'NULL', '', None}
 
+    def __init__(self, **kwargs):
+        if kwargs.get('allow_null', False):
+            self.default_empty_html = None
+            self.initial = None
+        super().__init__(**kwargs)
+
     def to_internal_value(self, data):
         with contextlib.suppress(TypeError):
             if data in self.TRUE_VALUES:
diff --git a/tests/test_fields.py b/tests/test_fields.py
index 11e293107d..23e7931cd3 100644
--- a/tests/test_fields.py
+++ b/tests/test_fields.py
@@ -369,7 +369,7 @@ class TestBooleanHTMLInput:
     def test_empty_html_checkbox(self):
         """
         HTML checkboxes do not send any value, but should be treated
-        as `False` by BooleanField.
+        as `False` by BooleanField if allow_null=False.
         """
         class TestSerializer(serializers.Serializer):
             archived = serializers.BooleanField()
@@ -381,7 +381,8 @@ class TestSerializer(serializers.Serializer):
     def test_empty_html_checkbox_not_required(self):
         """
         HTML checkboxes do not send any value, but should be treated
-        as `False` by BooleanField, even if the field is required=False.
+        as `False` by BooleanField when the field is required=False
+        and allow_null=False.
         """
         class TestSerializer(serializers.Serializer):
             archived = serializers.BooleanField(required=False)
@@ -390,6 +391,34 @@ class TestSerializer(serializers.Serializer):
         assert serializer.is_valid()
         assert serializer.validated_data == {'archived': False}
 
+    def test_empty_html_checkbox_allow_null(self):
+        """
+        HTML checkboxes do not send any value and should be treated
+        as `None` by BooleanField if allow_null is True.
+        """
+        class TestSerializer(serializers.Serializer):
+            archived = serializers.BooleanField(allow_null=True)
+
+        serializer = TestSerializer(data=QueryDict(''))
+        assert serializer.is_valid()
+        assert serializer.validated_data == {'archived': None}
+
+    def test_empty_html_checkbox_allow_null_with_default(self):
+        """
+        BooleanField should respect default if set and still allow
+        setting null values.
+        """
+        class TestSerializer(serializers.Serializer):
+            archived = serializers.BooleanField(allow_null=True, default=True)
+
+        serializer = TestSerializer(data=QueryDict(''))
+        assert serializer.is_valid()
+        assert serializer.validated_data == {'archived': True}
+
+        serializer = TestSerializer(data=QueryDict('archived='))
+        assert serializer.is_valid()
+        assert serializer.validated_data == {'archived': None}
+
 
 class TestHTMLInput:
     def test_empty_html_charfield_with_default(self):