A display device for a motor vehicle includes a projection module for generating an image for projection in a normal direction of looking of a user long an optical path. The display device comprises a reflection element capable of being moved between a first rest position and a second display position. The reflection element in its display position is provided in the normal direction of looking of the user. When the reflection element moves between its first rest position and its second display position, it is subjected to rotary movement about a fixed axis of rotation.