A screen device comprising: a screen roller (1), having a screen (2), which can be rolled up and unrolled hereon and which on at least one lateral side is provided with a thickening (6), a motor (7) for driving the screen roller (1), which motor, at that end of the screen roller (1) closest to the thickening (6), is disposed at least partially in the screen roller (1), wherein the motor (7) is fitted so far into the screen roller (1) that the thickening (6), in the rolled-up state of the screen (2), is positioned at least partially closer to the screen roller axis (A) than any point on that part of the motor (7) that is fitted in the screen roller (1), which point is situated the furthest from this screen roller axis (A).