diff --git a/aws/resource_aws_api_gateway_rest_api.go b/aws/resource_aws_api_gateway_rest_api.go
index ffd553657ec..8ad41302946 100644
--- a/aws/resource_aws_api_gateway_rest_api.go
+++ b/aws/resource_aws_api_gateway_rest_api.go
@@ -65,6 +65,12 @@ func resourceAwsApiGatewayRestApi() *schema.Resource {
 				Optional: true,
 			},
 
+			"parameters": {
+				Type:     schema.TypeMap,
+				Optional: true,
+				Elem:     &schema.Schema{Type: schema.TypeString},
+			},
+
 			"minimum_compression_size": {
 				Type:         schema.TypeInt,
 				Optional:     true,
@@ -177,11 +183,19 @@ func resourceAwsApiGatewayRestApiCreate(d *schema.ResourceData, meta interface{}
 
 	if body, ok := d.GetOk("body"); ok {
 		log.Printf("[DEBUG] Initializing API Gateway from OpenAPI spec %s", d.Id())
-		_, err := conn.PutRestApi(&apigateway.PutRestApiInput{
+
+		input := &apigateway.PutRestApiInput{
 			RestApiId: gateway.Id,
 			Mode:      aws.String(apigateway.PutModeOverwrite),
 			Body:      []byte(body.(string)),
-		})
+		}
+
+		if v, ok := d.GetOk("parameters"); ok && len(v.(map[string]interface{})) > 0 {
+			input.Parameters = stringMapToPointers(v.(map[string]interface{}))
+		}
+
+		_, err := conn.PutRestApi(input)
+
 		if err != nil {
 			return fmt.Errorf("error creating API Gateway specification: %s", err)
 		}
@@ -410,14 +424,22 @@ func resourceAwsApiGatewayRestApiUpdate(d *schema.ResourceData, meta interface{}
 		}
 	}
 
-	if d.HasChange("body") {
+	if d.HasChanges("body", "parameters") {
 		if body, ok := d.GetOk("body"); ok {
 			log.Printf("[DEBUG] Updating API Gateway from OpenAPI spec: %s", d.Id())
-			_, err := conn.PutRestApi(&apigateway.PutRestApiInput{
+
+			input := &apigateway.PutRestApiInput{
 				RestApiId: aws.String(d.Id()),
 				Mode:      aws.String(apigateway.PutModeOverwrite),
 				Body:      []byte(body.(string)),
-			})
+			}
+
+			if v, ok := d.GetOk("parameters"); ok && len(v.(map[string]interface{})) > 0 {
+				input.Parameters = stringMapToPointers(v.(map[string]interface{}))
+			}
+
+			_, err := conn.PutRestApi(input)
+
 			if err != nil {
 				return fmt.Errorf("error updating API Gateway specification: %s", err)
 			}
diff --git a/aws/resource_aws_api_gateway_rest_api_test.go b/aws/resource_aws_api_gateway_rest_api_test.go
index 7555fe1d856..73cc2135a3d 100644
--- a/aws/resource_aws_api_gateway_rest_api_test.go
+++ b/aws/resource_aws_api_gateway_rest_api_test.go
@@ -513,6 +513,40 @@ func TestAccAWSAPIGatewayRestApi_openapi(t *testing.T) {
 	})
 }
 
+func TestAccAWSAPIGatewayRestApi_Parameters(t *testing.T) {
+	var conf apigateway.RestApi
+	rName := acctest.RandomWithPrefix("tf-acc-test")
+	resourceName := "aws_api_gateway_rest_api.test"
+
+	resource.ParallelTest(t, resource.TestCase{
+		PreCheck:     func() { testAccPreCheck(t); testAccAPIGatewayTypeEDGEPreCheck(t) },
+		Providers:    testAccProviders,
+		CheckDestroy: testAccCheckAWSAPIGatewayRestAPIDestroy,
+		Steps: []resource.TestStep{
+			{
+				Config: testAccAWSAPIGatewayRestAPIConfigParameters1(rName, "basepath", "prepend"),
+				Check: resource.ComposeTestCheckFunc(
+					testAccCheckAWSAPIGatewayRestAPIExists(resourceName, &conf),
+					testAccCheckAWSAPIGatewayRestAPIRoutes(&conf, []string{"/", "/foo", "/foo/bar", "/foo/bar/baz", "/foo/bar/baz/test"}),
+				),
+			},
+			{
+				ResourceName:            resourceName,
+				ImportState:             true,
+				ImportStateVerify:       true,
+				ImportStateVerifyIgnore: []string{"body", "parameters"},
+			},
+			{
+				Config: testAccAWSAPIGatewayRestAPIConfigParameters1(rName, "basepath", "ignore"),
+				Check: resource.ComposeTestCheckFunc(
+					testAccCheckAWSAPIGatewayRestAPIExists(resourceName, &conf),
+					testAccCheckAWSAPIGatewayRestAPIRoutes(&conf, []string{"/", "/test"}),
+				),
+			},
+		},
+	})
+}
+
 func testAccCheckAWSAPIGatewayRestAPINameAttribute(conf *apigateway.RestApi, name string) resource.TestCheckFunc {
 	return func(s *terraform.State) error {
 		if *conf.Name != name {
@@ -949,7 +983,7 @@ resource "aws_api_gateway_rest_api" "test" {
   "info": {
     "title": "%s",
     "version": "2017-04-20T04:08:08Z"
-  },
+	},
   "schemes": [
     "https"
   ],
@@ -1020,3 +1054,49 @@ EOF
 }
 `, rName, rName)
 }
+
+func testAccAWSAPIGatewayRestAPIConfigParameters1(rName string, parameterKey1 string, parameterValue1 string) string {
+	return fmt.Sprintf(`
+resource "aws_api_gateway_rest_api" "test" {
+  name = %[1]q
+  body = <<EOF
+{
+  "swagger": "2.0",
+  "info": {
+    "title": %[1]q,
+    "version": "2017-04-20T04:08:08Z"
+  },
+  "basePath": "/foo/bar/baz",
+  "schemes": [
+    "https"
+  ],
+  "paths": {
+    "/test": {
+      "get": {
+        "responses": {
+          "200": {
+            "description": "200 response"
+          }
+        },
+        "x-amazon-apigateway-integration": {
+          "type": "HTTP",
+          "uri": "https://www.google.de",
+          "httpMethod": "GET",
+          "responses": {
+            "default": {
+              "statusCode": 200
+            }
+          }
+        }
+      }
+    }
+  }
+}
+EOF
+
+  parameters = {
+    %[2]s = %[3]q
+  }
+}
+`, rName, parameterKey1, parameterValue1)
+}
diff --git a/website/docs/r/api_gateway_rest_api.html.markdown b/website/docs/r/api_gateway_rest_api.html.markdown
index 46cb85b9664..c8a40b436db 100644
--- a/website/docs/r/api_gateway_rest_api.html.markdown
+++ b/website/docs/r/api_gateway_rest_api.html.markdown
@@ -45,6 +45,7 @@ The following arguments are supported:
 * `binary_media_types` - (Optional) The list of binary media types supported by the RestApi. By default, the RestApi supports only UTF-8-encoded text payloads.
 * `minimum_compression_size` - (Optional) Minimum response size to compress for the REST API. Integer between -1 and 10485760 (10MB). Setting a value greater than -1 will enable compression, -1 disables compression (default).
 * `body` - (Optional) An OpenAPI specification that defines the set of routes and integrations to create as part of the REST API.
+* `parameters` - (Optional) Map of customizations for importing the specification in the `body` argument. For example, to exclude DocumentationParts from an imported API, set `ignore` equal to `documentation`. Additional documentation, including other parameters such as `basepath`, can be found in the [API Gateway Developer Guide](https://docs.aws.amazon.com/apigateway/latest/developerguide/api-gateway-import-api.html).
 * `policy` - (Optional) JSON formatted policy document that controls access to the API Gateway. For more information about building AWS IAM policy documents with Terraform, see the [AWS IAM Policy Document Guide](https://learn.hashicorp.com/terraform/aws/iam-policy). Terraform will only perform drift detection of its value when present in a configuration. It is recommended to use the [`aws_api_gateway_rest_api_policy` resource](/docs/providers/aws/r/api_gateway_rest_api_policy.html) instead.
 * `api_key_source` - (Optional) The source of the API key for requests. Valid values are HEADER (default) and AUTHORIZER.
 * `tags` - (Optional) Key-value map of resource tags