An automobile headlamp system comprising a retractable headlamp which moves between its retracted position inside the body of an automobile and its protruded position. When the headlamp is in its retracted position, it is covered by a lamp over. When the cover is moved from its closed position to its open position, especially at the beginning of this movement, the rear end of the cover is shifted slightly forwards. Therefore, the lamp cover can be opened without interfering with the body of the automobile if the rear end portion of the cover is not straight but curved to a great extent.