A variable valve lift apparatus according to an exemplary embodiment of the present invention may include an outer part, an inner part disposed in the outer part and connected to a valve, a latching part that is disposed in the outer part and selectively connects the outer part and the inner part, a camshaft supplying torque, a low lift cam that is configured to the camshaft and selectively supplies torque to the inner part, and a high lift cam that is configured to the camshaft and supplies torque to the outer part.