A hinge (1) for a door opening over a horizontal axis, of the type comprising first and second supports (2, 3) that can be fixed to a compartment structure and to a door, at least rotatably constrained to each other through a pin (10). The hinge (1) comprises a fluidic cylinder-piston damper (9) of the type with internal flow leakage of the fluid contained therein. The damper (9) has a piston (18, 19) with a through-hole (20). The piston (18, 19) can have an appendix (19) that non-sealingly engages a chamber (17) when the door is closed, to increase the dampening. The hinge (1) has elastic means (7) such as a spring, to counteract the falling movement of the door when it is opened. The hinge (1) can be of the cam type, with a cam (4) and an abutment (5).