A retractable automobile head-light device including a retractable head lamp mounted through a linkage for movement between a retracted position and an extended position. The lamp cover has a front edge inclined rearwards toward laterally outwards so as to conform to the contour of the automobile body. A lamp cover panel is mounted at the rear end portion on the automobile body for vertical movements and twisting movements about a substantially laterally extending swinging axis. A lamp cover driving mechanism includes a pair of driving links each connected at one end to the lamp cover panel through a lug and at the other end to the linkage so that the lamp cover is swingably moved together with the movement of the head lamp between the extended and retracted positions. The swinging axis is inclined either or both upwards and rearwards toward laterally outward so that the front edge of the lamp cover panel is maintained substantially horizontally even though there is a downward inclination towards outwards in the body contour.