A display device for a motor vehicle, comprising a projection module for generating an image for projection in a normal direction of looking of a user of the display device along an optical path, the display device comprising a reflection element that is capable of being moved between a first rest position and a second display position, the reflection element in its display position being provided in the normal direction of looking of the user, wherein, when the reflection element moves between its first rest position and its second display position, the reflection element is subjected to a rotary movement about a fixed axis of rotation, wherein the display device comprises a cover means for the reflection element, the cover means covering the reflection element when the reflection element is positioned in its first rest position, wherein the cover means is capable of being moved between a third closed position and a fourth open position, the third closed position corresponding to the cover means covering the reflection element and, when the cover means moves between its third closed position and its fourth open position, the cover means is subjected to a rotary movement about another fixed axis of rotation, wherein a fifth position of the cover means corresponds to an intermediate position between its third closed position and its fourth open position, wherein the rotary movement of the reflection element between its first rest position and its second display position and the rotary movement of the cover means between its third closed position and its fifth position is provided in a simultaneous manner, and wherein, during the rotary movement of the cover means between its fifth position and its fourth open position, the reflection element is provided in its second display position.