A saddle-riding vehicle includes a radiator in front of an engine of the saddle-riding vehicle and on one lateral side of the vehicle in a vehicle widthwise direction with respect to a center line in the vehicle widthwise direction. The radiator includes: a radiator body that allows coolant of the engine to flow through the radiator body; a radiator fan at a rear face of the radiator body; and a fan cover that covers the radiator fan from a rear of the radiator fan to guide exhaust air from the radiator to the one lateral side in the vehicle widthwise direction.