Abstract: A method and apparatus directly regulate the output currents (i.sub.RX, i.sub.SX, i.sub.TX) of an inverter that feeds a predetermined number of induction machines. This method and apparatus is applicable to an inverter feeding one or more induction machines without rotational speed actual value sensors. The regulation is achieved by means of a secondary current control to which is supplied a current command variable system (i.sub.RW, i.sub.SW, i.sub.TW). According to the invention the current command variable system (i.sub.RW, i.sub.SW, i.sub.TW) is determined from the inverter output currents (i.sub.RX, i.sub.SX, i.sub.TX) and the state signals (S.sub.R, S.sub.S, S.sub.T) of the current switches of the inverter, from a calculation of the actual values of the active and reactive powers (P/U.sub.d, P.sub.q /U.sub.d) supplied to the motor, and a given rotational speed setpoint (n.sub.set), using field-oriented variables and simulating the actual rotational speed (n.sub.act).