A nut capturing socket assembly includes a socket, an inner sleeve and an outer sleeve. The socket has a non-circular shaped interior opening to receive a nut and a circular cylindrical outer surface area. The inner sleeve has a circular cylindrical opening at one end sized to slidingly receive the socket. The inner sleeve has a non-circular shaped opening at an opposite end of the same size and configuration as the non-circular shaped interior opening of the socket. A first abutment element is fixed relative to the socket and a second abutment element is fixed relative to the inner sleeve. An elastic element is positioned between the first and second abutment elements to bias the inner sleeve rotationally relative to the socket. The outer sleeve surrounds the inner sleeve is sized to engage the inner sleeve to co-rotate therewith. The outer sleeve captures the elastic element internally of the socket assembly. All of the components of the socket assembly are permanently assembled together such that no components can become detached from one another.