A key structure of computer keyboard includes a base, a conductive film, an elastic member, a frame, and a cap. A plurality of coupling parts including sliding grooves are arranged on the cap and the base. The frame has a plurality of pivoting shafts arranged within the sliding grooves such that the frame can be pressed down. The top and bottom ends of the elastic member are fixed between the cap and the conductive film such that the elastic member will not leap out when the key structure is disassembled. A clamping device is arranged between the cap and the base such that the key will not shake when pressed.