A roll-up shutter including a rotary drum (3) mounted horizontally at the upper end of a frame (2) above a window; a slat assembly (4) including a plurality of interconnected pivotal slats (40) rollable on the drum (3) to a rolled-up condition above the window; and a tilting assembly (5) for selectively tilting the slats (40) to open or closed positions when the slat assembly (4) at least partially covers the window.
