A brake system for a motorcycle includes a pressure-regulating unit interposed between a fluid pressure-generating unit and a wheel brake. The operation of a pressure-regulating unit is controlled by a control unit on based on a value detected by an operating amount detector. The fluid pressure-generating unit is arranged between an engine body mounted on a body frame and an exhaust pipe extending from the engine body. The exhaust pipe is connected to the front surface of a cylinder head of the engine body, and is extended downwardly from the cylinder head. A support member for supporting the fluid pressure-generating unit is supported, through elastic members, by the engine body and frame members of a body frame of the motorcycle. The body frame extends rearwardly downwards from a head pipe connected to the body frame at a front end portion thereof.