A variable valve lift apparatus may include an outer body, an inner body inserted in the outer body to move up and down in the outer body, a valve cylinder inserted in the outer body on a lower side of the inner body to have one side coupled to the inner body and the other side coupled to the valve, a latching member provided either to the outer body or to the inner body to be operated by a hydraulic pressure for coupling to the outer body and the inner body selectively, a hydraulic chamber formed between the outer body and the inner body, a latching flow passage formed in the outer body to supply the hydraulic pressure to the latching member, and an oil removal valve provided to drain a fluid.