Disclosed is a structure of driving member for variable valve of engine, in which a first intake cam, an exhaust cam, and a second intake cam are mounted, in such an order, to a camshaft. An intake valve driving member has first and second driving members respectively in rolling engagement with the first and second intake cams. The first driving member forms a through hole. The second driving member forms a through hole. The interconnection member forms a through hole. The through holes are connected to and communicate with each other to form a hydraulic cylinder, which receives therein at least one piston that is movable to selectively locate between the first driving member and the interconnection member or between the second driving member and the interconnection member to change the lift of an intake valve.