An elastic clamp structure of an interface socket is provided, which consists of an interface socket with two clamps. The clamp has a pressed flat block at each free end, in which the flat block extends out from one side of the cylindrical surface of the wire, while the other side of the flat block maintains the cylindrical surface contour of the wire. The height of the flat block is larger than the inside height of the projecting lug, and smaller than the width of the projecting lug of the interface socket, allowing the clamp to swivel smoothly.