A traction control device operates to determine the speed of each of the left and right drive wheels of a vehicle, determine the speed of each of the left and right passive wheels of the vehicle, calculate the actual slip rate of the drive wheels of the vehicle directly based on the measurements of the speeds for the drive and passive wheels, establish a target slip rate and control the driving condition of the vehicle by making the actual slip rate equal the target slip rate. The actual slip rate is matched to the target slip rate by controlling engine output and braking power. The step of controlling the driving condition of the vehicle by controlling the engine output and the braking power is carried out according to the time differential of the difference between the actual slip rate and the target slip rate at least until the actual slip rate matches the target slip rate for the first time. After the actual slip rate has matched the target slip rate at least once, the step of controlling is carried out according to the proportion of the difference between the actual and the target slip rates.