A cooling device is incorporated into a V-type engine E in which a front cylinder and a rear cylinder are arranged in V-shape and a rear exhaust pipe is placed at a right side of a vehicle body. The cooling device 1 includes an intake duct and a fan. The intake duct has a suction port which opens toward the rear exhaust pipe. The fan suctions the air into the interior of the intake duct through the suction port and exhausts the suctioned air to a location distant from the exhaust pipe.