A multiple variable valve lift apparatus may include a moving cam formed in a hollow cylindrical shape into which a camshaft is inserted. In particular, the moving cam rotates together with the camshaft, moves in an axial direction of the camshaft, and includes a cam guide protrusion and a plurality of cams realizing different valve lift with each other. Moreover, the apparatus includes: an operating unit selectively guiding the cam guide protrusion; a controller controlling the operating unit; a valve opening/closing unit contacting with any one cam of the cams; and at least two pins disposed at the operating unit so as to guide the cam guide protrusion. The cam guide protrusion includes an inserted portion being selectively inserted between the pins and a shift portion.