A collision mitigation apparatus configured to mitigate a shock to an occupant of a vehicle when a rearward vehicle collides into the vehicle from behind, including a driving unit generating a driving force, and an electronic control unit having a microprocessor and a memory. The microprocessor is configured to perform predicting whether the rearward vehicle collides into the vehicle, and controlling the driving unit so that when it is predicted that the rearward vehicle collides into the vehicle, a difference between a vehicle speed of the vehicle and a vehicle speed of the rearward vehicle reduces and a driving force of a rear wheel is greater than a driving force of a front wheel immediately before the rearward vehicle collides into the vehicle.