diff --git a/graphene_django/converter.py b/graphene_django/converter.py
index c84b61ae1..92963d6ee 100644
--- a/graphene_django/converter.py
+++ b/graphene_django/converter.py
@@ -255,10 +255,14 @@ def dynamic_type():
 
 @convert_django_field.register(ArrayField)
 def convert_postgres_array_to_list(field, registry=None):
-    base_type = convert_django_field(field.base_field)
-    if not isinstance(base_type, (List, NonNull)):
-        base_type = type(base_type)
-    return List(base_type, description=field.help_text, required=not field.null)
+    inner_type = convert_django_field(field.base_field)
+    if not isinstance(inner_type, (List, NonNull)):
+        inner_type = (
+            NonNull(type(inner_type))
+            if inner_type.kwargs["required"]
+            else type(inner_type)
+        )
+    return List(inner_type, description=field.help_text, required=not field.null)
 
 
 @convert_django_field.register(HStoreField)
@@ -271,5 +275,9 @@ def convert_postgres_field_to_string(field, registry=None):
 def convert_postgres_range_to_string(field, registry=None):
     inner_type = convert_django_field(field.base_field)
     if not isinstance(inner_type, (List, NonNull)):
-        inner_type = type(inner_type)
+        inner_type = (
+            NonNull(type(inner_type))
+            if inner_type.kwargs["required"]
+            else type(inner_type)
+        )
     return List(inner_type, description=field.help_text, required=not field.null)
diff --git a/graphene_django/tests/test_converter.py b/graphene_django/tests/test_converter.py
index 8e4495ad6..f6e3606da 100644
--- a/graphene_django/tests/test_converter.py
+++ b/graphene_django/tests/test_converter.py
@@ -310,6 +310,14 @@ def test_should_postgres_array_convert_list():
     )
     assert isinstance(field.type, graphene.NonNull)
     assert isinstance(field.type.of_type, graphene.List)
+    assert isinstance(field.type.of_type.of_type, graphene.NonNull)
+    assert field.type.of_type.of_type.of_type == graphene.String
+
+    field = assert_conversion(
+        ArrayField, graphene.List, models.CharField(max_length=100, null=True)
+    )
+    assert isinstance(field.type, graphene.NonNull)
+    assert isinstance(field.type.of_type, graphene.List)
     assert field.type.of_type.of_type == graphene.String
 
 
@@ -321,6 +329,17 @@ def test_should_postgres_array_multiple_convert_list():
     assert isinstance(field.type, graphene.NonNull)
     assert isinstance(field.type.of_type, graphene.List)
     assert isinstance(field.type.of_type.of_type, graphene.List)
+    assert isinstance(field.type.of_type.of_type.of_type, graphene.NonNull)
+    assert field.type.of_type.of_type.of_type.of_type == graphene.String
+
+    field = assert_conversion(
+        ArrayField,
+        graphene.List,
+        ArrayField(models.CharField(max_length=100, null=True)),
+    )
+    assert isinstance(field.type, graphene.NonNull)
+    assert isinstance(field.type.of_type, graphene.List)
+    assert isinstance(field.type.of_type.of_type, graphene.List)
     assert field.type.of_type.of_type.of_type == graphene.String
 
 
@@ -341,7 +360,8 @@ def test_should_postgres_range_convert_list():
     field = assert_conversion(IntegerRangeField, graphene.List)
     assert isinstance(field.type, graphene.NonNull)
     assert isinstance(field.type.of_type, graphene.List)
-    assert field.type.of_type.of_type == graphene.Int
+    assert isinstance(field.type.of_type.of_type, graphene.NonNull)
+    assert field.type.of_type.of_type.of_type == graphene.Int
 
 
 def test_generate_enum_name(graphene_settings):