A braking/driving control apparatus for a vehicle includes a basic control unit which calculates and outputs a target axle torque based on a target acceleration and a driving resistance of the vehicle and which determines an axle torque for a power train of the vehicle and an axle torque for a braking apparatus of the vehicle based on the calculated target axle torque, a sliding-down prediction determining unit which determines whether there is a possibility that the vehicle slides down rearwards on an uphill road, and a sliding-down preventing process executing unit which performs a process for reducing a possibility that the vehicle slides down, based on a determination result of the sliding-down prediction determining unit. After the sliding-down prediction determining unit determines that there is the possibility, the sliding-down preventing process executing unit controls the basic control unit to calculate and output the target axle torque so as to reach an axle torque which is obtained by reducing a predetermined positive amount form an estimated value of an axle torque necessary for the vehicle to achieve the target acceleration against the driving resistance.