A variable valve lift apparatus includes an outer body for selectively performing a first lever motion depending on a rotation of a high cam, the outer body further forming an inside space, an inner body disposed in the inside space of the outer body so as to selectively perform a second lever motion depending on a rotation of the high cam by being selectively locked to the outer body, the selective performing of the second lever motion depending on a rotation of a low cam being released from the outer body, and the inner body being configured so that a valve is connected with one end of the inner body, a connecting shaft rotatably connecting the outer body with the inner body, and a lost motion spring wound around the connecting shaft so as to return the outer body after being relatively rotated with respect to the inner body when the outer body is released from the inner body, wherein a roller rolling-contacting with the low cam is disposed at the inner body, and the connecting shaft is disposed between a pivot axis for a lever motion of the inner body and the roller.