A hinge has a positioning bracket, a rotating bracket, a pivotal pin, a washer, a mounting ring and two resilient sleeves. The positioning bracket has a sleeve. The sleeve has a through hole and an elongating groove. The rotating bracket has a connecting segment. The pivotal pin is attached to the rotating bracket and has a mounting shaft, a connecting shaft and a head. The washer and the mounting ring are mounted around the connecting shaft of the pivotal pin. The resilient sleeves are mounted around the connecting shaft, are mounted in the through hole of the sleeve and each resilient sleeve has a sleeve segment and a mounting slice. The sleeve segment has a through hole and a gap. The mounting slice is formed on the sleeve segment near the gap and is inserted into the elongating groove.