A multiple variable valve lift apparatus may include a camshaft rotating by drive of an engine, at least two cam portions disposed on the camshaft to be movable along an axial direction of the camshaft and to be rotated together with the camshaft, and forming a high cam and a low cam, a valve opening/closing unit operated by one of the high cam or the low cam formed at the cam portion, an operating unit disposed on the camshaft to move together with one of the at least two cam portions, a solenoid selectively moving the operating unit along an axial direction of the camshaft, a interlock unit rotating together with the camshaft, and disposed between one and the other of the cam portions on the camshaft to be movable along an axial direction of the camshaft, and a pin operating unit selectively moving the interlock unit along the camshaft.