A variable valve lift apparatus including an inner tappet, an outer tappet surrounding and slidably contacting the inner tappet, and a latching pin slidably inserted into the inner tappet so as to implement a high lift and a low lift by selectively joining the inner tappet and the outer tappet may include a stopper partially inserted into the outer tappet and spaced apart from the latching pin in a movement direction of the latching pin so as to limit movement of the latching pin, and forming a latching pin joining groove in the outer tappet to selectively receive the latching pin, wherein the stopper partially projects to the outside of the outer tappet and is slidably engaged to a cylinder head groove formed to a cylinder head bore to prevent the variable valve lift apparatus from being rotated.