The utility model relates to a sleeve gripper structure of a precision tool, which comprises a precision tool main body and a gripper; both sides of the main body are respectively provided with a grab handle part and a sleeve head, the sleeve head is provided with a ring concave part, and the top end of the sleeve head is provided with a sleeve hole; the gripper is penetrated in a containing hole, the containing hole is sheathed on the ring concave part of the sleeve head, a plurality of gripping jaw heads which form hook shapes inward are arranged on the front end of the gripper, and the top ends of the gripping jaw heads are formed into a gripping position; the utility model is provided with a spring which is sheathed in the ring concave part of the sleeve head, and the gripper which is sheathed in the ring concave part of the sleeve head is used for jacking the spring. The utility model can firmly compound screw caps and screws without using a magnetic adsorbent element.