diff --git a/openapi_core/unmarshalling/schemas/factories.py b/openapi_core/unmarshalling/schemas/factories.py
index 89db3047..66184cba 100644
--- a/openapi_core/unmarshalling/schemas/factories.py
+++ b/openapi_core/unmarshalling/schemas/factories.py
@@ -1,6 +1,7 @@
 import warnings
 from typing import Any
 from typing import Dict
+from typing import Iterable
 from typing import Optional
 from typing import Type
 from typing import Union
@@ -30,6 +31,9 @@
 from openapi_core.unmarshalling.schemas.unmarshallers import (
     IntegerUnmarshaller,
 )
+from openapi_core.unmarshalling.schemas.unmarshallers import (
+    MultiTypeUnmarshaller,
+)
 from openapi_core.unmarshalling.schemas.unmarshallers import NullUnmarshaller
 from openapi_core.unmarshalling.schemas.unmarshallers import NumberUnmarshaller
 from openapi_core.unmarshalling.schemas.unmarshallers import ObjectUnmarshaller
@@ -89,6 +93,12 @@ def create(
         formatter = self.custom_formatters.get(schema_format)
 
         schema_type = type_override or schema.getkey("type", "any")
+        if isinstance(schema_type, Iterable) and not isinstance(
+            schema_type, str
+        ):
+            return MultiTypeUnmarshaller(
+                schema, validator, formatter, self, context=self.context
+            )
         if schema_type in self.COMPLEX_UNMARSHALLERS:
             complex_klass = self.COMPLEX_UNMARSHALLERS[schema_type]
             return complex_klass(
diff --git a/openapi_core/unmarshalling/schemas/unmarshallers.py b/openapi_core/unmarshalling/schemas/unmarshallers.py
index 3a738440..c2704a5c 100644
--- a/openapi_core/unmarshalling/schemas/unmarshallers.py
+++ b/openapi_core/unmarshalling/schemas/unmarshallers.py
@@ -312,6 +312,27 @@ def _unmarshal_object(self, value: Any) -> Any:
         return properties
 
 
+class MultiTypeUnmarshaller(ComplexUnmarshaller):
+    @property
+    def types_unmarshallers(self) -> List["BaseSchemaUnmarshaller"]:
+        types = self.schema.getkey("type", ["any"])
+        unmarshaller = partial(self.unmarshallers_factory.create, self.schema)
+        return list(map(unmarshaller, types))
+
+    def unmarshal(self, value: Any) -> Any:
+        for unmarshaller in self.types_unmarshallers:
+            # validate with validator of formatter (usualy type validator)
+            try:
+                unmarshaller._formatter_validate(value)
+            except ValidateError:
+                continue
+            else:
+                return unmarshaller(value)
+
+        log.warning("failed to unmarshal multi type")
+        return value
+
+
 class AnyUnmarshaller(ComplexUnmarshaller):
 
     SCHEMA_TYPES_ORDER = [
diff --git a/tests/unit/unmarshalling/test_unmarshal.py b/tests/unit/unmarshalling/test_unmarshal.py
index 224b00a7..3ce50db4 100644
--- a/tests/unit/unmarshalling/test_unmarshal.py
+++ b/tests/unit/unmarshalling/test_unmarshal.py
@@ -835,6 +835,34 @@ def test_additional_properties_list(self, unmarshaller_factory):
             "user_ids": [1, 2, 3, 4],
         }
 
+    @pytest.mark.xfail(message="None and NOTSET should be distinguished")
+    def test_null_not_supported(self, unmarshaller_factory):
+        schema = {"type": "null"}
+        spec = Spec.from_dict(schema)
+
+        with pytest.raises(InvalidSchemaValue):
+            unmarshaller_factory(spec)(None)
+
+    @pytest.mark.parametrize(
+        "types,value",
+        [
+            (["string", "null"], "string"),
+            (["number", "null"], 2),
+            (["number", "null"], 3.14),
+            (["boolean", "null"], True),
+            (["array", "null"], [1, 2]),
+            (["object", "null"], {}),
+        ],
+    )
+    def test_nultiple_types_not_supported(
+        self, unmarshaller_factory, types, value
+    ):
+        schema = {"type": types}
+        spec = Spec.from_dict(schema)
+
+        with pytest.raises(TypeError):
+            unmarshaller_factory(spec)(value)
+
 
 class TestOAS31SchemaUnmarshallerCall:
     @pytest.fixture
@@ -856,3 +884,40 @@ def test_null_invalid(self, unmarshaller_factory, value):
 
         with pytest.raises(InvalidSchemaValue):
             unmarshaller_factory(spec)(value)
+
+    @pytest.mark.parametrize(
+        "types,value",
+        [
+            (["string", "null"], "string"),
+            (["number", "null"], 2),
+            (["number", "null"], 3.14),
+            (["boolean", "null"], True),
+            (["array", "null"], [1, 2]),
+            (["object", "null"], {}),
+        ],
+    )
+    def test_nultiple_types(self, unmarshaller_factory, types, value):
+        schema = {"type": types}
+        spec = Spec.from_dict(schema)
+
+        result = unmarshaller_factory(spec)(value)
+
+        assert result == value
+
+    @pytest.mark.parametrize(
+        "types,value",
+        [
+            (["string", "null"], 2),
+            (["number", "null"], "string"),
+            (["number", "null"], True),
+            (["boolean", "null"], 3.14),
+            (["array", "null"], {}),
+            (["object", "null"], [1, 2]),
+        ],
+    )
+    def test_nultiple_types_invalid(self, unmarshaller_factory, types, value):
+        schema = {"type": types}
+        spec = Spec.from_dict(schema)
+
+        with pytest.raises(InvalidSchemaValue):
+            unmarshaller_factory(spec)(value)