A secondary air supply system includes a CPU, a first air supply pipe, a second air supply pipe, a first shut-off valve, and a second shut-off valve. First ends of the first air supply pipe and the second air supply pipe are connected to an air cleaner box and the other ends thereof are connected to an exhaust port. The CPU controls opening/closing of the first shut-off valve and the second shut-off valve based on a state of an engine. The first shut-off valve and the second shut-off valve are selectively opened by the CPU, so that air in the air cleaner box is supplied to the exhaust port through the first air supply pipe and/or the second air supply pipe.