A vibration damping control apparatus is mounted on a hybrid vehicle provided with an engine and a motor generator coupled with the engine. The vibration damping control apparatus (i) calculates pulsating torque of the engine and inertia torque of the engine, (ii) sets, as consumption torque, a value obtained by subtracting the inertia torque from the pulsating torque, (iii) sets, as shaft torque of an output shaft of the engine, a value obtained by subtracting the consumption torque from base torque of the motor generator, (iv) calculates vibration damping torque which is torque for suppressing a variation in the shaft, and (v) controls the motor generator such that torque outputted from the motor generator is a sum of the base torque and the vibration damping torque.