diff --git a/docs/api-guide/schemas.md b/docs/api-guide/schemas.md
index 040c2ed14..e1ac16a22 100644
--- a/docs/api-guide/schemas.md
+++ b/docs/api-guide/schemas.md
@@ -60,7 +60,8 @@ urlpatterns = [
     #   * Provide view name for use with `reverse()`.
     path('openapi', get_schema_view(
         title="Your Project",
-        description="API for all things …"
+        description="API for all things …",
+        version="1.0.0"
     ), name='openapi-schema'),
     # ...
 ]
@@ -72,6 +73,7 @@ The `get_schema_view()` helper takes the following keyword arguments:
 
 * `title`: May be used to provide a descriptive title for the schema definition.
 * `description`: Longer descriptive text.
+* `version`: The version of the API. Defaults to `0.1.0`.
 * `url`: May be used to pass a canonical base URL for the schema.
 
         schema_view = get_schema_view(
@@ -137,6 +139,7 @@ Arguments:
 
 * `title` **required**: The name of the API.
 * `description`: Longer descriptive text.
+* `version`: The version of the API. Defaults to `0.1.0`.
 * `url`: The root URL of the API schema. This option is not required unless the schema is included under path prefix.
 * `patterns`: A list of URLs to inspect when generating the schema. Defaults to the project's URL conf.
 * `urlconf`: A URL conf module name to use when generating the schema. Defaults to `settings.ROOT_URLCONF`.
diff --git a/rest_framework/schemas/__init__.py b/rest_framework/schemas/__init__.py
index 8fdb2d86a..588680362 100644
--- a/rest_framework/schemas/__init__.py
+++ b/rest_framework/schemas/__init__.py
@@ -31,7 +31,8 @@ def get_schema_view(
         title=None, url=None, description=None, urlconf=None, renderer_classes=None,
         public=False, patterns=None, generator_class=None,
         authentication_classes=api_settings.DEFAULT_AUTHENTICATION_CLASSES,
-        permission_classes=api_settings.DEFAULT_PERMISSION_CLASSES):
+        permission_classes=api_settings.DEFAULT_PERMISSION_CLASSES,
+        version=None):
     """
     Return a schema view.
     """
@@ -43,7 +44,7 @@ def get_schema_view(
 
     generator = generator_class(
         title=title, url=url, description=description,
-        urlconf=urlconf, patterns=patterns,
+        urlconf=urlconf, patterns=patterns, version=version
     )
 
     # Avoid import cycle on APIView
diff --git a/rest_framework/schemas/coreapi.py b/rest_framework/schemas/coreapi.py
index 8d9099f2a..d811da2d8 100644
--- a/rest_framework/schemas/coreapi.py
+++ b/rest_framework/schemas/coreapi.py
@@ -124,7 +124,7 @@ class SchemaGenerator(BaseSchemaGenerator):
     # Set by 'SCHEMA_COERCE_METHOD_NAMES'.
     coerce_method_names = None
 
-    def __init__(self, title=None, url=None, description=None, patterns=None, urlconf=None):
+    def __init__(self, title=None, url=None, description=None, patterns=None, urlconf=None, version=None):
         assert coreapi, '`coreapi` must be installed for schema support.'
         assert coreschema, '`coreschema` must be installed for schema support.'