A solar-shading assembly for fastening to a support mullion, comprises an elongate louver member having longitudinal front and rear edges, an elongate cap element for extending along and covering the rear edge, a bracket which is connectable to the support mullion, and a fastening device for connecting the bracket to the rear edge of the louver member. The in use fastening device is coverable by the cap element so as to hide the fastening device from view. Preferably, at least part of the bracket is also coverable by the cap element so as to hide the said part of the bracket from view.