The current invention relates to a screen system. Furthermore, the invention relates to a building provided with such a screen system. The screen system is suitable for shielding, for example, light and/or heat.The screen system consists of a first movable pulling cable and a screen part connected at a first end to a first attachment point and at a second end to the first movable pulling cable.According to the invention, the screen comprises a first screen part and a second screen part which are interconnected by means of a torsion tube, wherein the torsion tube is configured to rotate so as to roll the first and second screen parts onto the torsion tube and to keep it taut.