A two-stage universal joint includes a sleeve member, a driving member, and an elastic member. The sleeve member defines an axial direction and has a sleeve portion and a connection portion. The sleeve portion has a receiving groove having plural positioning protrusions extending axially on an inner wall thereof. One of the positioning protrusions has a recessed portion. The driving portion has a polygonal ball-joint having plural arc-face sections. The polygonal ball-joint is inserted into the receiving groove. The driving member is slidable with respect to the sleeve member between a first position and a second position. The polygonal ball-joint has a biasing member tending to move outward.