A motorcycle has a radiator disposed forwardly of the eingine, a raditor cover covering the radiator and having an air discharge port for discharging air from the radiator rearwardly of a vehicle body, and side covers disposed in a position facing the air discharge port and covering both side areas between the fuel tank and the engine, the side covers being contiguous to the rear portion of the vehicle frame and adjacent to the rear wheel suspension. Air discharged from within the radiator cover can be drawn out by ram air that flows along side surfaces of the side covers, to prevent an excessive temperature rise in the radiator cover to the rear portion of the vehicle frame and adjacent to the rear wheel suspension, they are highly blended with each other for an improved appearance.