In a continuously variable transmission apparatus, by adjusting the transmission ratio of a toroidal continuously variable transmission, an output shaft can be stopped while an input shaft is left rotating in one direction by a drive source. And, when, while the vehicle is running, a select lever is operated to a select position in the reverse direction to the vehicle running direction, in a state where a clutch device is connected, the speed ratio of the continuously variable transmission apparatus is changed from a value corresponding to the vehicle running state to a value 0 capable of realizing the above-mentioned stopping state along a preset condition.