A signalling device (2B, 2C, 2D, 2E, 2F) for a motor vehicle comprising at least one homogeneously illuminated screen, the signalling device (2B, 2C, 2D, 2E, 2F) including: - a light source (4, 4A, 4B, 4C) configured to emit a light beam (20, 20A, 20B, 20C), the light intensity of which decreases as the periphery of the light beam (20, 20A, 20B, 20C) is approached; and - a screen comprising a first face opposite to a second face, the screen allowing at least part of the light beam (20, 20A, 20B, 20C) emitted by the light source (4, 4A, 4B, 4C) to pass through; and - a means for holding the screen in front of the light source (4, 4A, 4B, 4C) in such a way that the light source (4, 4A, 4B, 4C) can illuminate directly the first face thereof; and - a means (22, 30, 30A, 30B, 30C) for occulting at least a peripheral portion (28, 28A, 28B, 28C) of the light beam emitted by the light source (4, 4A, 4B, 4C), in such a way that, at the second face of the screen, the maximum variation of light intensity is equal to or lower than 60% when the light beam (20, 20A, 20B, 20C) illuminates the screen, the occulting means comprising a sheath (30, 30A, 30B, 30C) present between the light source (4, 4A, 4B, 4C) and the screen, the sheath (30, 30A, 30B, 30C) being arranged in such a way as to surround the light beam (20, 20A, 20B, 20C) emitted by the light source (4, 4A, 4B, 4C) in such a way that only a central portion (26, 26A, 26B, 26C) of the light beam (20, 20A, 20B, 20C) illuminates directly the screen; characterized in that the sheath (30, 30A, 30B, 30C) comprises a proximal end opposite the light source and a distal end in contact with the screen, the distal end is configured to absorb the light emitted by the light source and the internal face of the proximal portion of the sheath is covered with a material reflecting the light towards the screen. - a light source (4, 4A, 4B, 4C) configured to emit a light beam (20, 20A, 20B, 20C), the light intensity of which decreases as the periphery of the light beam (20, 20A, 20B, 20C) is approached; and - a screen comprising a first face opposite to a second face, the screen allowing at least part of the light beam (20, 20A, 20B, 20C) emitted by the light source (4, 4A, 4B, 4C) to pass through; and - a means for holding the screen in front of the light source (4, 4A, 4B, 4C) in such a way that the light source (4, 4A, 4B, 4C) can illuminate directly the first face thereof; and - a means (22, 30, 30A, 30B, 30C) for occulting at least a peripheral portion (28, 28A, 28B, 28C) of the light beam emitted by the light source (4, 4A, 4B, 4C), in such a way that, at the second face of the screen, the maximum variation of light intensity is equal to or lower than 60% when the light beam (20, 20A, 20B, 20C) illuminates the screen, the occulting means comprising a sheath (30, 30A, 30B, 30C) present between the light source (4, 4A, 4B, 4C) and the screen, the sheath (30, 30A, 30B, 30C) being arranged in such a way as to surround the light beam (20, 20A, 20B, 20C) emitted by the light source (4, 4A, 4B, 4C) in such a way that only a central portion (26, 26A, 26B, 26C) of the light beam (20, 20A, 20B, 20C) illuminates directly the screen; characterized in that the sheath (30, 30A, 30B, 30C) comprises a proximal end opposite the light source and a distal end in contact with the screen, the distal end is configured to absorb the light emitted by the light source and the internal face of the proximal portion of the sheath is covered with a material reflecting the light towards the screen.