diff --git a/inference_schema/parameter_types/_constants.py b/inference_schema/parameter_types/_constants.py
index 058def4..7387617 100644
--- a/inference_schema/parameter_types/_constants.py
+++ b/inference_schema/parameter_types/_constants.py
@@ -7,3 +7,8 @@
 TIME_FORMAT = "%H:%M:%S.%f %z"
 ERR_PYTHON_DATA_NOT_JSON_SERIALIZABLE = "Invalid python data sample provided: ensure that the data is fully JSON " \
                                         "serializable to be able to generate swagger schema from it. Actual error: {}"
+
+
+class SWAGGER_FORMAT_CONSTANTS:
+    NUMPY_FORMAT = "numpy.ndarray"
+    PANDAS_FORMAT = "pandas.DataFrame:{}"
diff --git a/inference_schema/parameter_types/numpy_parameter_type.py b/inference_schema/parameter_types/numpy_parameter_type.py
index d04cab4..7b68bf7 100644
--- a/inference_schema/parameter_types/numpy_parameter_type.py
+++ b/inference_schema/parameter_types/numpy_parameter_type.py
@@ -5,6 +5,7 @@
 import numpy as np
 from .abstract_parameter_type import AbstractParameterType
 from ._swagger_from_dtype import Dtype2Swagger
+from ._constants import SWAGGER_FORMAT_CONSTANTS
 
 
 class NumpyParameterType(AbstractParameterType):
@@ -96,6 +97,7 @@ def input_to_swagger(self):
         swagger_schema = Dtype2Swagger.handle_swagger_array(swagger_item_type, shape)
         items_count = len(self.sample_input)
         swagger_schema['example'] = self._get_swagger_sample(self.sample_input, items_count, swagger_schema['items'])
+        swagger_schema["format"] = SWAGGER_FORMAT_CONSTANTS.NUMPY_FORMAT
         return swagger_schema
 
     @classmethod
diff --git a/inference_schema/parameter_types/pandas_parameter_type.py b/inference_schema/parameter_types/pandas_parameter_type.py
index 4a2d99e..2bb6d51 100644
--- a/inference_schema/parameter_types/pandas_parameter_type.py
+++ b/inference_schema/parameter_types/pandas_parameter_type.py
@@ -6,6 +6,7 @@
 import pandas as pd
 from .abstract_parameter_type import AbstractParameterType
 from ._util import get_swagger_for_list, get_swagger_for_nested_dict
+from ._constants import SWAGGER_FORMAT_CONSTANTS
 
 
 class PandasParameterType(AbstractParameterType):
@@ -143,5 +144,5 @@ def input_to_swagger(self):
                 elif data_type.startswith('timedelta'):
                     swagger_schema['properties']['data']['items']['properties'][str(column_name)]['format'] = \
                         'timedelta'
-
+        swagger_schema["format"] = SWAGGER_FORMAT_CONSTANTS.PANDAS_FORMAT.format(self.orient)
         return swagger_schema
diff --git a/tests/resources/sample_nested_input_schema.json b/tests/resources/sample_nested_input_schema.json
index 7991ca3..b44d8a6 100644
--- a/tests/resources/sample_nested_input_schema.json
+++ b/tests/resources/sample_nested_input_schema.json
@@ -7,6 +7,7 @@
             "properties": {
                 "input1": {
                     "type": "array",
+                    "format": "pandas.DataFrame:records",
                     "items": {
                         "type": "object",
                         "required": ["name", "state"],
@@ -22,6 +23,7 @@
                 },
                 "input2": {
                     "type": "array",
+                    "format": "numpy.ndarray",
                     "items": {
                         "type": "object",
                         "properties": {
diff --git a/tests/resources/sample_nested_output_schema.json b/tests/resources/sample_nested_output_schema.json
index e0ec73d..1769ec7 100644
--- a/tests/resources/sample_nested_output_schema.json
+++ b/tests/resources/sample_nested_output_schema.json
@@ -4,6 +4,7 @@
     "properties": {
         "output1": {
             "type": "array",
+            "format": "pandas.DataFrame:records",
             "items": {
                 "type": "object",
                 "required": ["state"],
@@ -16,6 +17,7 @@
         },
         "output2": {
             "type": "array",
+            "format": "numpy.ndarray",
             "items": {
                 "type": "object",
                 "properties": {
diff --git a/tests/resources/sample_numpy_input_schema.json b/tests/resources/sample_numpy_input_schema.json
index c2b845c..8fad515 100644
--- a/tests/resources/sample_numpy_input_schema.json
+++ b/tests/resources/sample_numpy_input_schema.json
@@ -3,6 +3,7 @@
 	"properties": {
 		"param": {
 			"type": "array",
+			"format": "numpy.ndarray",
 			"items": {
 				"type": "object",
 				"properties": {
diff --git a/tests/resources/sample_numpy_output_schema.json b/tests/resources/sample_numpy_output_schema.json
index 2725bb1..12abf17 100644
--- a/tests/resources/sample_numpy_output_schema.json
+++ b/tests/resources/sample_numpy_output_schema.json
@@ -1,5 +1,6 @@
 {
 	"type": "array",
+	"format": "numpy.ndarray",
 	"items": {
 		"type": "object",
 		"properties": {
diff --git a/tests/resources/sample_pandas_datetime_schema.json b/tests/resources/sample_pandas_datetime_schema.json
index 93c0a75..9664992 100644
--- a/tests/resources/sample_pandas_datetime_schema.json
+++ b/tests/resources/sample_pandas_datetime_schema.json
@@ -3,6 +3,7 @@
 	"properties": {
 		"param": {
             "type": "array",
+            "format": "pandas.DataFrame:records",
             "items": {
                 "type": "object",
                 "required": [
diff --git a/tests/resources/sample_pandas_input_schema.json b/tests/resources/sample_pandas_input_schema.json
index 8f35485..944c749 100644
--- a/tests/resources/sample_pandas_input_schema.json
+++ b/tests/resources/sample_pandas_input_schema.json
@@ -3,6 +3,7 @@
 	"properties": {
 		"param": {
 			"type": "array",
+			"format": "pandas.DataFrame:records",
 			"items": {
 				"type": "object",
 				"properties": {
diff --git a/tests/resources/sample_pandas_output_schema.json b/tests/resources/sample_pandas_output_schema.json
index cbd8c19..dd5bf4d 100644
--- a/tests/resources/sample_pandas_output_schema.json
+++ b/tests/resources/sample_pandas_output_schema.json
@@ -1,5 +1,6 @@
 {
     "type": "array",
+    "format": "pandas.DataFrame:records",
     "items": {
         "type": "object",
         "properties": {