Hinge for a motor vehicle door, comprising: - a fixed element comprising means for securing to a chassis of said motor vehicle, and - a movable element comprising means for securing on said door, said fixed and movable elements being mounted such as to move in rotation relative to one another by means of a hinge pin between a closed position of said door and an open position of said door, - return means (122, 130, 140) adapted to storing a proportion of the energy generated such as to cause said movable element to rock relative to said fixed element from the closed position of the door towards its open position, said return means comprising: - a cam associated with one of said fixed and movable elements, - an elastically deformable stop secured on the other of said fixed and movable elements, and - an arm that is mounted such as to move relative to said other fixed or movable element and that has, first, a part for compression of said stop and, second, a guide part, said compression part being opposite said guide part such that said arm is interposed between said cam and said stop, said guide part being adapted to interact with said cam such that said compression part is adapted to compress said stop upon rotation of said movable element relative to said fixed element from the closed position towards the open position, characterized in that: - said arm is mounted such as to move in rotation on said fixed element by means of an articulation pin parallel to said hinge pin; and - said return means (122, 130, 140) are adapted to restore, upon the return of the door towards its closed position, at least a proportion of the energy stored upon rocking of said movable element relative to said fixed element from the closed position of the door towards its open position. - a fixed element comprising means for securing to a chassis of said motor vehicle, and - a movable element comprising means for securing on said door, said fixed and movable elements being mounted such as to move in rotation relative to one another by means of a hinge pin between a closed position of said door and an open position of said door, - return means (122, 130, 140) adapted to storing a proportion of the energy generated such as to cause said movable element to rock relative to said fixed element from the closed position of the door towards its open position, said return means comprising: - a cam associated with one of said fixed and movable elements, - an elastically deformable stop secured on the other of said fixed and movable elements, and - an arm that is mounted such as to move relative to said other fixed or movable element and that has, first, a part for compression of said stop and, second, a guide part, said compression part being opposite said guide part such that said arm is interposed between said cam and said stop, said guide part being adapted to interact with said cam such that said compression part is adapted to compress said stop upon rotation of said movable element relative to said fixed element from the closed position towards the open position, - a cam associated with one of said fixed and movable elements, - an elastically deformable stop secured on the other of said fixed and movable elements, and - an arm that is mounted such as to move relative to said other fixed or movable element and that has, first, a part for compression of said stop and, second, a guide part, said compression part being opposite said guide part such that said arm is interposed between said cam and said stop, said guide part being adapted to interact with said cam such that said compression part is adapted to compress said stop upon rotation of said movable element relative to said fixed element from the closed position towards the open position, - said arm is mounted such as to move in rotation on said fixed element by means of an articulation pin parallel to said hinge pin; and - said return means (122, 130, 140) are adapted to restore, upon the return of the door towards its closed position, at least a proportion of the energy stored upon rocking of said movable element relative to said fixed element from the closed position of the door towards its open position.