A turbosupercharger includes an exhaust turbine and a compressure, each connected together by an intermediate shift. The exhaust turbine is disposed in an exhaust passage positioned at downstream side of an exhaust manifold positioned in front of an engine and connected to an exhaust port of the engine. The compressor is disposed in an intake passage connected to an intake port of the engine. The exhaust port and intake port are positioned at front and rear sides of the engine, respectively. The exhaust turbine and the compressor are disposed sidy by side and transversely provided with respect to a frame of motorcycle and in front of said engine. The rotational axis of the turbosupercharger is rotated downwardly at the side near the engine, and the compressor is provided with a scroll opening oriented upwardly. Further, the exhaust manifold is covered with a cover member spacedly positioned in front of the manifold.