A continuously variable conical pulley transmission having pairs of conical pulleys which are rotationally fixedly arranged on drive input and drive output shafts and of which in each case one is fixed to the shaft and one is axially movable, and between which a traction mechanism belt for power transmission circulates. In order that it is not necessary to provide otherwise unutilized regions of the conical pulley surfaces to allow for corresponding wear, it is proposed that a stop for limiting the transmission ratio, which stop acts substantially in the radial direction on the traction mechanism belt, be provided in at least one conical pulley pair. It is intended in particular that the peripheral surface of the drive input shaft serves as a stop. It is also proposed that a chain as a traction mechanism belt be correspondingly matched to a device of said type by virtue of the contour of the links of said chain being matched to the contour of the drive input shaft.