The invention concerns a parking space recognition system (13) for a motor vehicle (1), with a sensor device (3) that is designed to detect at least one surface (6a, 6b) of at least one object (7a, 7b) in the surroundings of the motor vehicle (1) and extending along a direction of travel (F) of the motor vehicle (1) and with a computing device (8) that is designed to identify a space (9) between two detected surfaces (6a, 6b) extending along the direction of travel (F) as a potential parking space with an associated parking space position, which can be at least one longitudinal parking space (10) or at least one transverse parking spaces (11a, 11b), and with a memory device (12) that is designed to identify the recognized potential parking space as a longitudinal parking space (10) or as a transverse parking space (11a, 11b) or as a potential parking space depending on parking space information stored for the parking space position, in order to increase the accuracy of parking space detection by a motor vehicle (1).