In a traction control device in which an initial control torque of an engine is determined in accordance with an acceleration of the vehicle, when an excessive slipping of driven wheels is detected, a time taken for proceeding of the excessive slipping of the driven wheels from a large slip state to a small slip state is counted by a timer. If such time is smaller than a reference time and a gear ratio of the vehicle is of a first gear shift to provide a low vehicle speed, it is decided that the vehicle is traveling on an upward sloping road, and a lower limit value for defining the initial control torque of the engine determined in an initial control torque calculating means is corrected into an increased value in an initial torque correcting means. This prevents the initial control torque of the engine from being excessively reduced at the start of a traction control. By this construction, it is possible to prevent an initial control torque from being excessively reduced due to a misjudgment of a friction coefficient of a surface of an upward or downward sloping road to insure an acceleratability of a vehicle.