A vehicle transmission has a continuously variable speed change mechanism provided between an input shaft to which a torque output by a driving force source is transmitted and an output shaft from which a torque is output to a driving wheel. The transmission is able to selectively block torque transmission between the mechanism and the output shaft. The mechanism is rotated by the driving force source with torque transmission between the mechanism and the output shaft blocked. A control apparatus limits a shifting speed of the mechanism to or below an upper-limit speed determined in advance in a case where a speed ratio of the mechanism is changed with the mechanism rotated by the driving force source that is subjected to idling rotational speed control, while the mechanism is blocked from the output shaft such that no torque is transmitted between the mechanism and the output shaft.