A rebounding pivot module includes a mounting shaft, and a bouncing device set including a barrel having one end tooth shaped, a connecting tube mounted in the other end of the barrel, a connection rod connected to the connecting tube, a socket and a first guide block mounted onto the connection rod, the first guide block having one end beveled, a bouncing barrel mounted around the connecting rod, a second guide block supported on an elastic member in the bouncing barrel and defining therein a guide hole and having one end tooth shaped and abutted at the beveled edge of the first guide block, and a lock device fastened to connection rod that is inserted through the second guide block, the elastic member and the through hole of the bouncing barrel to lock the bouncing barrel to the connection rod.