The theory and predicted performance of a new type of glazing exhibiting strong angle-selective reflectance and high viewing transparency are presented. The glazing comprises a fixed venetian blind style arrangement of laser-cut panels. The theory shows that the transition from high transmittance at near normal incidence to high reflectance at larger incident angles can be varied in magnitude and over a wide angular range by altering the laser-cut spacing and panel spacing. Calculated radiant transmission and daylighting performance for the glazing on southern and east/west facades in buildings at temperate and sub-tropical northern latitudes predicts excellent performance for a single practical configuration of the system.