The present invention relates to a screen device (1), comprising: - a first and a second screen (4, 5) with a first and second joining strip (6, 7), respectively, on adjacent lateral sides which can be rolled up onto and unrolled from a first and second screen roller (2, 3), respectively; - a coupling piece (8) with a Y-shaped channel, delimited by an upper body (9), a lower body (10) and an intermediate piece (11), in which the joining strips (6, 7) are displaceable for coupling and uncoupling them when unrolling or rolling up the screens (4, 5), respectively; - and a guide element (15) with a guide surface (16) for guiding the joining strips (6, 7) which is arranged away from the screen rollers (2, 3) adjacent to the Y-shaped channel and/or partly delimits this Y-shaped channel and, in the unrolling direction of the screens (4, 5), during the unrolling and rolling up of the screens (4, 5), is arranged gradually further away from each plane in which the screens (4, 5) substantially extend in their unrolled state.