Abstract: A method and apparatus for torque equalization on the drive of a rolling stand, having a linear oscillatory movement driven via a crank drive, of a Pilger step-by-step rolling mill, particularly a cold Pilger rolling mill. In order to avoid the inefficient and/or expensive drive and to create a torque equalization system which avoids generator operation of the motor of the drive device of the mill and therefore torques acting in the direction of rotation of the motor on the motor, the variation of speed of rotation of the crank drive, determined mathematically from the kinematic parameters of the system, the masses moved and the external loads, is imparted to the crank drive as a desired variation of speed of rotation.