A longitudinal force control apparatus comprising: a lateral acceleration acquisition section for acquiring a lateral acceleration, the lateral acceleration being an acceleration along a right-left direction acting on a vehicle; a bank angle acquisition section for acquiring a bank angle of the vehicle; and a longitudinal force control section for decreasing an absolute value of a longitudinal force at least with respect to a driving wheel of the vehicle based on the acquired lateral acceleration and the bank angle, the longitudinal force being a sum of forces along a front-rear direction acting on the driving wheel; the longitudinal force control section including: a lateral-skid acceleration calculation section for at least calculating a lateral-skid acceleration of the driving wheel based on at least the acquired lateral acceleration and the bank angle; and a judgment section for determining whether the calculated lateral-skid acceleration is equal to or greater than a predetermined threshold; and a longitudinal-force reduction section for decreasing the absolute value of the longitudinal force acting at least on the driving wheel when the judgment section determines that a lateral skid is occurring; characterized in that the longitudinal force control section determines first and second velocity ranges (VR1, VR2), the second velocity range being greater in velocity than the first velocity range, the threshold being greater when a velocity of travel of the vehicle is in the second velocity range than when the velocity of travel of the vehicle is in the first velocity range. a lateral acceleration acquisition section for acquiring a lateral acceleration, the lateral acceleration being an acceleration along a right-left direction acting on a vehicle; a bank angle acquisition section for acquiring a bank angle of the vehicle; and a longitudinal force control section for decreasing an absolute value of a longitudinal force at least with respect to a driving wheel of the vehicle based on the acquired lateral acceleration and the bank angle, the longitudinal force being a sum of forces along a front-rear direction acting on the driving wheel; the longitudinal force control section including: a lateral-skid acceleration calculation section for at least calculating a lateral-skid acceleration of the driving wheel based on at least the acquired lateral acceleration and the bank angle; and a judgment section for determining whether the calculated lateral-skid acceleration is equal to or greater than a predetermined threshold; and a longitudinal-force reduction section for decreasing the absolute value of the longitudinal force acting at least on the driving wheel when the judgment section determines that a lateral skid is occurring; characterized in that the longitudinal force control section determines first and second velocity ranges (VR1, VR2), the second velocity range being greater in velocity than the first velocity range, the threshold being greater when a velocity of travel of the vehicle is in the second velocity range than when the velocity of travel of the vehicle is in the first velocity range. a lateral-skid acceleration calculation section for at least calculating a lateral-skid acceleration of the driving wheel based on at least the acquired lateral acceleration and the bank angle; and a judgment section for determining whether the calculated lateral-skid acceleration is equal to or greater than a predetermined threshold; and