A hydraulic hinge for rotatably moving and/or controlling a closing element ( A ), such as a door, a shutter or the like, anchored to a stationary support structure ( S ), 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 ( S ) and the closing element ( A ), 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 ( X ) anchorable to the other of the stationary support structure ( S ) and the closing element ( A ), said pivot and said hinge body being reciprocally coupled to each other to rotate about said first axis ( X ) between the open position and the closed position of the closing element ( A ); - a slider slidably movable within said working chamber along a second axis ( Y ) 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 ( A ) about said first axis ( X ) corresponds to the at least partial sliding of said slider along said axis ( Y ); - hydraulic damping means acting on said slider to hydraulically damp the movement of the closing element ( A ) 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 ( S ) and the closing element ( A ), 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 ( X ) anchorable to the other of the stationary support structure ( S ) and the closing element ( A ), said pivot and said hinge body being reciprocally coupled to each other to rotate about said first axis ( X ) between the open position and the closed position of the closing element ( A ); - a slider slidably movable within said working chamber along a second axis ( Y ) 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 ( A ) about said first axis ( X ) corresponds to the at least partial sliding of said slider along said axis ( Y ); - hydraulic damping means acting on said slider to hydraulically damp the movement of the closing element ( A ) 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; <EOS>