A continuously-variable-transmission control device having high control response and stability, reduced processing load on a control device and V-belt wear recognition. The width of the V-belt is calculated on the basis of a position of the primary sheave, a length of the V-belt, a distance between the sheaves, an angle of the sheave, and a change gear ratio during idling, and the calculated belt width is stored. The control device performs a feed-forward control on the starter in which it corrects the target position of the primary sheave on the basis of the belt width, and then controls the sheave position so as to reach the corrected target position. When the calculated belt width becomes equal to or smaller than a predetermined threshold, the control device issues an alarm that alerts the driver to replace the V-belt.