A device for controlling a turn running behavior of a vehicle detects at least one parameter (V, gamma, Gy, Gyh, gammat, gammat-gamma) with respect to the turn running behavior in addition to a drive direction of the vehicle, the one parameter being indicative of a higher desirability of the turn running
behavior control according to changes of a magnitude thereof, calculates an amount (DELTATer, Froq, Friq, DELTATes, Fsop, Fsiq, Fsoq) for the turn running
behavior control based upon the detected turn running behavior parameters, determines a start of the turn running
behavior control according to the one turn running behavior parameter traversing a threshold value (Vrp, Vrq, gammarp, gammarq, Gyp, Gyq, Gyhp, Gyhq, Vsp, Vsq, gammasp, gammasq, gammatsp, gammatsq, DELTAgammap, DELTAgammaq) determined therefor, and executes the turn running behavior control by operating at least one of the engine and the
brake system according to the turn running behavior control amount, wherein threshold value is changed in a rearward drive of the vehicle as compared in a forward drive thereof such that the turn running behavior control is started at a
lower degree of the desirability thereof in the rearward drive than in the forward drive.