An engine support bracket for a motorcycle is formed as an L-shaped channel member that is horizontally mounted on a vehicle body frame. Mounting portions of an engine are mounted on the L-shaped channel member and are fastened to the L-shaped channel member using a bolt. With this arrangement, assembling of the engine onto the vehicle body frame can be completed with a simple operation, and hence, the operability in assembling the engine is enhanced. Further, as parts for connecting the engine to the vehicle body frame, only the L-shaped channel member need be provided. Thus, the number of parts is decreased thus also providing a simple structure. Further, a head of the bolt and a nut, which fix the engine to the vehicle body frame, do not appear on a side surface of the mounting portions of the engine. Hence, the appearance of the motorcycle is enhanced.