A variable valve lift apparatus includes a lever body having a set length for a lever motion. One end of the lever body is connected with a hydraulic pressure supply portion and another end thereof is connected with the valve. A rotation shaft is disposed such that a width direction of the lever body is a length direction of the rotation shaft. A roller rotates around the rotation shaft. A high cam is disposed at the camshaft to rotate together with the camshaft and has a lobe shape for rolling-contact the roller to realize a high lift. A low cam is disposed at the camshaft to rotate together with the camshaft and has a lobe shape for rolling-contacting the roller to realize a low lift. The roller is disposed to slide along the length direction of the rotation shaft and selectively rolling-contact with the high cam or the low cam by sliding.