A hydraulic door closing hinge for closing a closing element, such as a door, a shutter or the like, which is anchored to a stationary support structure, the device including: - a fixed element fixable to the stationary support structure; - a movable element anchored to the closing element, said movable element and said fixed element being mutually coupled to rotate around a first longitudinal axis between an open position and a closed position; - at least one slider slidably movable along said first axis between a compressed end position, corresponding to the open position of the movable element, and an extended end position, corresponding to the closed position of the movable element; - counteracting elastic means slidably movable along said first axis between maximum and minimum elongation positions, said counteracting elastic means acting on said at least one slider for the automatic returning thereof from the compressed end position toward the extended end position, in such a manner to promote the automatic closing of the closing element; wherein one of said movable element and said fixed element comprises a generally box-like hinge body including at least one operating chamber defining said first axis to slidably house said at least one slider, the other of said movable element and said fixed element including a pivot, said pivot and said at least one slider being mutually coupled in such a manner that the rotation of the movable element around said first axis corresponds to the sliding of the at least one slider along said the first axis and vice-versa, said pivot and said at least one slider being telescopically coupled to each other; wherein said pivot includes a cylindrical portion having at least one pair of substantially equal grooves ( 43', 43") angularly spaced of 180° each including at least one helical portion ( 44', 44") wound around said first axis, said grooves ( 43', 43") being communicating with each other to define a single guide element passing through said cylindrical portion; wherein said slider includes an elongated body with at least one first end which comprises a first pin defining a second axis substantially perpendicular to said first axis, said first pin being inserted through said single guide element to slide therein, in such a manner to allow the mutual engagement of said cylindrical portion and elongated body, said elongated body of said at least one slider including a second end slidably movable between a position proximal to said cylindrical portion of said pivot, corresponding to the compressed position of said at least one slider, and a position distal from said cylindrical portion of said pivot, corresponding to the extended position of the slider, said counteracting elastic means being interposed between said cylindrical portion of said pivot and said second end of said at least one slider so that the former are in the position of maximum elongation when the latter is in the extended end position; wherein said at least one operating chamber includes at least one support portion to be loaded by said pivot, at least one anti-friction element interposed between said at least one support portion and said pivot being provided to minimize friction due to the action of the elastic counteracting means on said pivot; wherein said at least one slider includes a plunger element movable into said at least one operating chamber along said first axis, said at least one operating chamber including a working fluid acting on said plunger element to hydraulically counteract the action thereof, said plunger element including a pushing head configured to separate said at least one operating chamber into at least one first and second variable volume compartments ( 36', 36") fluidically communicating with each other, said counteracting elastic means being placed in said first compartment; characterized in that said at least one support portion is located within said at least one operating chamber, said pivot being coaxially inserted through said at least one operating chamber; and in that said at least one support portion is susceptible to separate said at least one operating chamber into a first and second area ( 270, 270'), said pivot being housed in said first area, said counteracting elastic means being housed in said second area. - a fixed element fixable to the stationary support structure; - a movable element anchored to the closing element, said movable element and said fixed element being mutually coupled to rotate around a first longitudinal axis between an open position and a closed position; - at least one slider slidably movable along said first axis between a compressed end position, corresponding to the open position of the movable element, and an extended end position, corresponding to the closed position of the movable element; - counteracting elastic means slidably movable along said first axis between maximum and minimum elongation positions, said counteracting elastic means acting on said at least one slider for the automatic returning thereof from the compressed end position toward the extended end position, in such a manner to promote the automatic closing of the closing element;