To eliminate the belt slip of a driving belt during the initial acceleration of an automobile with a CVT.

At least one disc 7 of a first pulley 1 can be axially moved under the influence of the axial force added to the movable discs 7 by a line pressure PLP in a cylinder 11 of the first pulley 1, and at least one disc 6 of a second pulley 2 can be axially moved under the influence of the axial force added to the movable discs 8 by a second cylinder pressure P2CP in a cylinder 12 of the second pulley 2. This control system is mounted to control the second cylinder pressure P2CP between two pressure levels (PLP; PR) by a second valve 40 affected by the control pressure P2C, and the second valve 40 is affected by not only the control pressure Pc but also the second cylinder pressure P2CP.