A burner cover for a gas burner includes a disk-shaped base segment, and an annular gas distribution segment which is connected to the base segment. The gas distribution segment has first gas distribution channels, which extend radially from an inner surface of the gas distribution segment toward an outer edge of the base segment. Each first gas distribution channel extends through the gas distribution segment and has a T-shaped cross-sectional geometry, which is open in a direction pointing away from the base segment.