<p>An electric drive system for a vehicle, capable of improving the response of an electric drive device to cooling by reducing the length of a refrigerant circulation path while preventing the vibration of an electric motor from being transmitted to the vehicle body frame. An electric drive system for a vehicle is provided with an electric drive section which electrically drives the vehicle, and also with a cooling section which cools the electric drive section. The electric drive section and the cooling section are formed integrally with each other and are mounted to the vehicle body frame with an elastic support member interposed therebetween.</p>