A hinge structure (1) for self-closing doors or the like comprises a first stationary element (2) attachable to the frame (T) of a door (P), a first movable element (3) securable to the door (P) and pivotally mounted to the first stationary element (2) for rotating about a longitudinal axis (X) between an open door position and a closed door position. The structure (1) further comprises closing means (4) acting on the first movable element (3) for automatically returning the door (P) to the closed position during opening, hydraulic damping means (5) operating on the first movable element (3) to oppose and damp the movement produced by the closing means (4). The closing means (4) and the hydraulic damping means (5) are housed within a first operating chamber (6) locate internally of the first stationary element (2). An assembly incorporates such hinge structure.