A variable valve lift apparatus for changing a lift of an intake or exhaust valve in at least two stages may include a lever body, a piston, a cylinder, a hydraulic pressure chamber, an active portion, a hinge portion, a roller, a rotation shaft, a guide slot, a hydraulic pressure supply portion, and an elastic member, in which the lever body may make a lever motion at an end with the intake valve or the exhaust valve connected thereto, the piston may make reciprocal motion in the cylinder, the rotation shaft may pass through the hinge portion and the roller and be a rotation center of the roller, moving together with the roller, the hydraulic pressure supply portion may supply hydraulic pressure to the hydraulic pressure chamber for moving the piston, and the elastic member may return the piston if the hydraulic pressure being supplied to the hydraulic pressure chamber is removed.