Wegner received several major design prizes, from the Lunning prize in 1951 and the Grand Prix of the Milan Triennale in the same year, to the Prince Eugen medal in Sweden and the Danish Eckersberg medal.
Wegner on pälvinud olulisi disainiauhindu alates Lunningi auhinnast aastal 1951, Milano Triennale Grand Prix'ist samal aastal, prints Eugeni medalist Rootsis kuni Taani Eckersbergi medalini.