Abstract: A traction control apparatus is provided with a control factor calculation section for determining current slip values of the driving wheels, differential values of the wheel slips, a value of the vehicle speed, values of longitudinal acceleration and jerk resulting therefrom and values of centripetal acceleration and jerk resulting therefrom, a running condition and road surface decision section for determining a desired engine torque value and gain coefficients for controlling the engine torque values, a degree of unsafety allowable, gain coefficients for controlling the degree of unsafety by using the values determined by the control factor calculation section and the values outputted from the PD controlling section, an acceleration performance enhancing section for determining a first desired opening angle of a throttle valve by using the desired engine torque, the gain coefficients for controlling the engine torque and the values determined by the control factor calculation section, a driving safety secu