A continuously variable transmission apparatus includes a toroidal-type continuously variable transmission, a planetary gear type transmission and a clutch apparatus that connects the toroidal-type continuously variable transmission and the planetary gear type transmission. The clutch apparatus includes: a low speed clutch engaged for realizing a low speed mode and disengaged for realizing a high speed, a high speed clutch engaged for realizing the high speed mode and disengaged for realizing the low speed mode and a controller. The controller controls the transmission ratio of the toroidal-type continuously variable transmission so that rotational speeds of members connected via the clutch apparatus equals with each other, and then disengages the one of the low speed clutch and the high speed clutch after engaging the other.