diff --git a/rest_framework/pagination.py b/rest_framework/pagination.py
index c54894efc..d749d53ac 100644
--- a/rest_framework/pagination.py
+++ b/rest_framework/pagination.py
@@ -723,3 +723,35 @@ class CursorPagination(BasePagination):
 
     def get_fields(self, view):
         return [self.cursor_query_param]
+
+
+class HybridPagination(PageNumberPagination, LimitOffsetPagination):
+    """
+    Basically allows both pagination method to work within a single pagination class.
+    By default it uses the PageNumberPagination
+    When 'offset' is used in request.GET, it will switch to use LimitOffsetPagination
+    """
+    proxy = PageNumberPagination
+
+    def paginate_queryset(self, queryset, request, *args, **kwargs):
+        if 'offset' in request.GET or 'limit' in request.GET:
+            self.proxy = LimitOffsetPagination
+        return self.proxy.paginate_queryset(self, queryset, request, *args, **kwargs)
+
+    def get_paginated_response(self, *args, **kwargs):
+        return self.proxy.get_paginated_response(self, *args, **kwargs)
+
+    def to_html(self, *args, **kwargs):
+        return self.proxy.to_html(self, *args, **kwargs)
+
+    def get_results(self, *args, **kwargs):
+        return self.proxy.get_results(self, *args, **kwargs)
+
+    def get_next_link(self, *args, **kwargs):
+        return self.proxy.get_next_link(self, *args, **kwargs)
+
+    def get_previous_link(self, *args, **kwargs):
+        return self.proxy.get_previous_link(self, *args, **kwargs)
+
+    def get_html_context(self):
+        return self.proxy.get_html_context(self)
diff --git a/tests/test_pagination.py b/tests/test_pagination.py
index 170d95899..c73b9dfd7 100644
--- a/tests/test_pagination.py
+++ b/tests/test_pagination.py
@@ -754,3 +754,22 @@ def test_get_displayed_page_numbers():
     assert displayed_page_numbers(7, 9) == [1, None, 6, 7, 8, 9]
     assert displayed_page_numbers(8, 9) == [1, None, 7, 8, 9]
     assert displayed_page_numbers(9, 9) == [1, None, 7, 8, 9]
+
+
+class TestCombinedPaginationPageNumber(TestPageNumberPagination):
+    def setup(self):
+        class ExamplePagination(pagination.HybridPagination):
+            page_size = 5
+
+        self.pagination = ExamplePagination()
+        self.queryset = range(1, 101)
+
+
+class TestCombinedPaginationLimitOffset(TestLimitOffset):
+    def setup(self):
+        class ExamplePagination(pagination.HybridPagination):
+            default_limit = 10
+            max_limit = 15
+
+        self.pagination = ExamplePagination()
+        self.queryset = range(1, 101)