A key structure of computer keyboard having a base, a conductive film, an elastic member, a frame, a cap. A plurality of coupling parts are arranged on the cap and the base, wherein the coupling part on along the same side of the cap and the base are composed of three sliding grooves and a fixed groove. The frame has a plurality of pivoting shafts arranged within the sliding grooves and fixed groove such that the frame can be pressed down. Both sides of the elastic member are fixed between the cap and the conductive film such that the elastic member will not outleap. A clamping device is arranged between the cap and the base such that the key will not shake when being pressed.