A variable lift apparatus of an engine for a vehicle may include a camshaft in which a cam is formed, a swing arm one side of which is supported by a supporting portion and another side of which operates a valve, an output arm including a roller press portion extended in one direction and a rotating arm extended in another direction, a first roller disposed in the connecting portion in which the rotating arm and the roller press portion are connected and that contacts the cam, a second roller disposed in the swing arm and contacting a roller contacting surface, a variable link connected with a lower end side of the rotating arm protruding in a lower side of the output arm by a hinge shaft and moves the hinge shaft according to a guide slot formed in a guide and a variable rotation shaft for operating the variable link.