Abstract: A socket connector structure includes a base formed with two drive heads. The two drive heads formed with two circular holes and two ball receiving holes. Two drive rods are each slidably mounted in the circular hole, and are each formed with a bidirectional ball receiving cavity aligning with the ball receiving hole. Two elastic members are each mounted in the circular hole, and are each biased between the drive rod and the wall of the circular hole. Two balls are each received in the ball receiving hole, and locked in a space formed by the ball receiving hole of the drive head and the bi-directional ball receiving cavity of the drive rod.

Abstract: A socket includes an outer periphery formed with a contact surface for increasing friction on the outer periphery of the socket. In such a manner, when a small torsion is required to operate a workpiece such as a nut and the like, the socket can be fitted on the workpiece so as to directly operate the workpiece such that a user can use the contact surface to enhance the friction between the socket and the user's hand, thereby facilitating the user gripping the outer periphery of the socket to rotate the socket so as to slightly tighten or loosen the workpiece without a need to use an additional tool such as a socket wrench.