This invention discloses a damping hinge that includes a first clamp plate and a second clamp plate, wherein one or more damping mechanisms are arranged on the first clamp plate and/or the second clamp plate. The damping mechanism includes a fixed pressure block, a movable pressure block which is able to move in the vertical direction, and a damper which is arranged vertically and has two ends connected to the fixed pressure block and the movable pressure block respectively. A first inclined surface of the movable pressure block is in abutting connection with a second inclined surface on the other clamp plate. This invention drived the damper to compress and retract vertically and improved the damping effect and service life of the damper.