To provide a four-wheel drive system which improves running performance of an automotive vehicle by inhibiting a driving torque from becoming insufficient upon occurrence of a slip.An R slip sensing means of a DC motor torque calculating means senses a slip due to a spin of rear wheels. When the rear wheel slip is sensed, an R slip DC-motor-torque correcting means corrects a torque of the rear wheels so that a driving force of the rear wheels is reduced and then increased. The R slip DC-motor-torque correcting means reduces a driving torque of the rear wheels to eliminate the slip and holds the reduced driving torque until the slip is eliminated, and then increases the driving torque to a value lower than a value which the driving torque has taken at the time of occurrence of the slip. The driving torque is increased to a predetermined limit value depending on the number of slips.