A pilger rolling mill comprising a roll stand, a flywheel on a drive shaft which is mounted rotatably about an axis of rotation, and a thrust rod having a first end and a second end, wherein the first end of the thrust rod is fixed to the flywheel at a radial spacing from the axis of rotation and wherein the second end of the thrust rod is fixed to the roll stand so that in operation of the mill a rotary movement of the flywheel is converted into a translatory movement of the roll stand, comprising a drive motor having a motor shaft, wherein the motor shaft of the drive motor and the drive shaft are connected together in such a way that a rotary movement of the motor shaft leads to a rotary movement of the drive shaft and thus the drive motor drives the flywheel. To provide a pilger rolling mill whose drive for the roll stand exhibits no or only very little wear and which in addition permits a precise displacement of the roll stand with a high degree of repetition accuracy, according to the invention it is proposed that that the drive motor is a torque motor.