A damping hinge includes a first joining part; a revolving part pivotably connected to the first joining part and being capable of revolving among a first position, a second position and a third position; a supporting module arranged within the first joining part for pressing the revolving part to keep the revolving part and the first joining part staying in a relative position; a second joining part fastened to the revolving part for connecting the upper cover; a first enforcement frame arranged on the first joining part; and a damping module including a damper holder pivotably connected to the second joining part, a damper consisting of a damper core fastened on the damper holder as a fixed end and an actuating portion as a free end being able to move up and down, a damper spring connected between the second joining part and the damper holder.