A screen device (1) comprising two fabric rollers (23 24), which, in the mounted state of the screen device (1), are arranged at an angle (a) relative to each other, and comprising, for each fabric roller (23, 24):—a screen (2, 3) which can be rolled up and unrolled on the fabric roller (23, 24);—a bottom lath (4, 5), which in the mounted state of the screen device, is fastened to the screen (2, 3) on the side of the screen (2, 3) away from the fabric roller (23, 24);—and one or more screen and/or lath guides (6, 7), for guiding a lateral side of the screen (2, 3) and/or the bottom lath (4, 5); wherein, in the mounted state of the screen device (1), the bottom laths (4, 5) are rigidly connected to each other at the said angle (α).