Whether the load on the automobile is normal or heavy or whether the automobile is in a normal, oversteering or understeering condition is detected by a rising-up performance of the yaw rate in the initial transient state of steering from a comparison of an actual yaw rate detected by a sensor and a standard yaw rate calculated from vehicle speed and steering angle, and the speed stage shifting of the automatic transmission is modified according to the result of the comparison so as to compensate for a change of load or a deviation of steering performance from a normal condition.