Disclosed is a vehicle control apparatus which can prevent drivability from being deteriorated. The ECU is operative to determine whether the previously depressed brake is in the “ON” or “OFF” state when the vehicle is determined as being not travelling on a bad road, the accelerator being in the “ON” state, and the brake being in the “ON” state. When the ECU is operative to determine that the previously depressed brake is in the “OFF” state, and the vehicle is in the reduced speed state, the ECU is operative to perform the reduction process of the engine output under the condition that the simultaneous depressions of the accelerator and brake pedals are held for less than 10 seconds, and the vehicle speed is 7 km/hr or more. When, on the other hand, the ECU determines that the vehicle is travelling on the bad road, the ECU is operative not to perform the reduction process.