A hydraulic hinge for rotatably moving and/or controlling a closing element, such as a door, a shutter or the like, anchored to a stationary support structure, such as a wall or a frame, between an open position and a closed position, the hinge comprising: - a hinge body anchorable to one of the stationary support structure and the closing element, said hinge body internally comprising a working chamber with a front wall and a bottom wall faced thereto; - a pivot defining a first longitudinal axis anchorable to the other of the stationary support structure and the closing element, said pivot and said hinge body being reciprocally coupled to each other to rotate about said first axis between the open position and the closed position of the closing element; - a slider slidably movable within said working chamber along a second axis between a position distal from said bottom wall and a position proximal thereto, said pivot and said slider being reciprocally coupled so that the rotation of the closing element about said first axis corresponds to the at least partial sliding of said slider along said axis; - hydraulic damping means acting on said slider to hydraulically damp the movement of the closing element upon the opening and/or closing movement, said hydraulic damping means including a working fluid flowing in a hydraulic circuit; - a separation element inserted into said hydraulic circuit to divide the latter in at least one first and one second variable volume compartments ( 51', 51") fluidly communicating with each other and preferably adjacent; wherein said separation element includes at least one opening to put in fluid communication said at least one first compartment and at least one second compartment ( 51', 51"); characterized in that said separation element further includes a pin passing through said at least one opening so as to define an interspace with said separation element which makes said at least one opening a calibrated passage for the working fluid flowing between said at least one first compartment and at least one second compartment ( 51', 51"). - a hinge body anchorable to one of the stationary support structure and the closing element, said hinge body internally comprising a working chamber with a front wall and a bottom wall faced thereto; - a pivot defining a first longitudinal axis anchorable to the other of the stationary support structure and the closing element, said pivot and said hinge body being reciprocally coupled to each other to rotate about said first axis between the open position and the closed position of the closing element; - a slider slidably movable within said working chamber along a second axis between a position distal from said bottom wall and a position proximal thereto, said pivot and said slider being reciprocally coupled so that the rotation of the closing element about said first axis corresponds to the at least partial sliding of said slider along said axis; - hydraulic damping means acting on said slider to hydraulically damp the movement of the closing element upon the opening and/or closing movement, said hydraulic damping means including a working fluid flowing in a hydraulic circuit; - a separation element inserted into said hydraulic circuit to divide the latter in at least one first and one second variable volume compartments ( 51', 51") fluidly communicating with each other and preferably adjacent;