Abstract: A control device for re-starting a cigarette packing machine, while it is slowing down after having cleared itself of a cigarette starvation condition in a flow channel (2), comprises: a triggering circuit (A2, I1) pulsed by a stroboscopic switch (S1) at machine speed, and controlling two flip-flop counters (F1 and F2); a fault emission circuit (R1, C1, R2, C2 and A1) fed from the starvation detector switch (40); a main shut-down circuit (I2, S2) connected from the output of one flip-flop (F1); and a re-start circuit (C3, R3, S3) connected from the output of the other flip-flop (F2).