A hydraulic hinge for closing and/or opening and/or checking a closing element, such as a door, a window, a door or the like, fixed to a stationary support structure, such as a wall, a floor, a frame or the like, the hinge comprising: - a fixed element anchorable to the stationary support structure; - a movable element anchorable to the closing element, said fixed element and movable element being mutually coupled in such a manner that the latter rotates with respect to the former about a first longitudinal axis (X) between an open position and a closed position; wherein one of said fixed element and movable element includes at least one working chamber defining a second longitudinal axis (Y), said at least one working chamber comprising at least one portion which includes: - a plunger member slidable along said second axis (Y), said plunger member being mutually connected with the other of said fixed element and movable element so that the rotation of the latter corresponds to the sliding of the former and vice-versa; - a working fluid for hydraulically damping the movement of said movable element ; wherein said plunger member divides said at least one portion of said at least one working chamber in at least two variable volume compartments fluidically communicating with each other; wherein upon one of the opening or closing of the closing element the working fluid flows from one of said first compartment and second compartment to the other of said first compartment and second compartment , upon the other of the opening or closing of the closing element the working fluid flowing from the other of said first compartment and second compartment to said one of said first compartment and second compartment ; characterized in that the hinge further comprises a third compartment interposed between said first compartment and said second compartment , said at least one portion of said at least one working chamber comprising a pair of non-return valves with a pair of control members sliding in respective seats , including respective end members cooperating therewith to define said seats , said third compartment being interposed between said end members ; wherein said control members act in opposite directions in such a manner that upon one of the opening or closing of the closing element one of said control members opens and the other of said control members closes, and in such a manner that upon the other of the opening or closing of the closing element said one of said control members closes and said other of said control members opens, so that the working fluid selectively flows through only one therof during both opening and closing of the closing element; wherein upon one of the opening or closing of the closing element the working fluid flows between said first compartment and second compartment through said third compartment and through_at least one channel passing through the wall of said at least one portion of said at least one working chamber , - a fixed element anchorable to the stationary support structure; - a movable element anchorable to the closing element, said fixed element and movable element being mutually coupled in such a manner that the latter rotates with respect to the former about a first longitudinal axis (X) between an open position and a closed position; - a plunger member slidable along said second axis (Y), said plunger member being mutually connected with the other of said fixed element and movable element so that the rotation of the latter corresponds to the sliding of the former and vice-versa; - a working fluid for hydraulically damping the movement of said movable element ; <EOS>