In this method for controlling the torque of an asynchronous machine (1) which can be supplied via an invertor (2) or converter from a DC source (3) or AC source, the stator frequency (f1) is formed by addition of a fed-back rotation frequency actual value (fn) and a slip-frequency preset valve (f2v) corresponding to a predetermined torque (M). The feedback of the rotation frequency actual value (fn) is in this case delayed. In consequence, during rapid changes in the rotation frequency actual value (fn), the torque actual value (Mact) on the asynchronous machine (1) is reduced, which has a speed-stabilising effect. The method is used especially for controlling the drives of rail vehicles. <IMAGE>