A continuously variable transmission system includes a belt type continuously variable transmission unit which, in turn, is composed of a primary pulley and a secondary pulley wherein the torque transmitting direction is switched by torque circulation in changeover between forward and reverse travel. When a low mode is selected in a D range, a somewhat higher hydraulic pressure from a regulator valve is supplied, through a manual valve, to a secondary hydraulic servo, which moves one sheave of the secondary pulley, and a somewhat lower hydraulic pressure from a ratio control valve is supplied to a primary hydraulic servo which moves one sheave of the primary pulley. When the D range is switched to R range by the manual valve, the supplies of the above hydraulic pressures are reversed. With this arrangement, the relative axial forces on the pulleys are changed in switching between forward and reverse travel.