A vehicle has an engine, an accelerator for controlling the rotary speed of the engine, an axle and a multi-speed transmission for transmitting power from the engine to the axle. The multi-speed transmission includes an odd-numbered speed drive train for an odd-numbered speed level, a first clutch for the odd-numbered speed drive train, an even-numbered speed drive train for an even-numbered speed level, and a second clutch for the even-numbered speed drive train. In correspondence to operation of the accelerator and an actual speed of the axle, either the odd-numbered speed drive train or the even-numbered speed drive train is selected so as to transmit power from the engine to the axle. A shift-up or shift-down timing between the odd-numbered speed level and the even-numbered speed level relative to variation of the actual speed of the axle is changed according to detection of a tilt angle of the vehicle or a weight of the vehicle.