Disclosed is a door-stopping device, including a linking arm and a locking mechanism, one being rigidly connected to the leaf of the door and the other to the frame, the linking arm including at least one face intended for engaging with a braking element resting on the face of the linking arm, the braking element being controlled by a blocking element resting in a notch provided on the braking element, the blocking element engaging with resilient return element intended for exerting a pressure of the blocking element on the braking element, thus allowing the relative holding of the door in open position in any given position between the closed and fully-open positions. The device is particularly applicable to motor vehicle doors.