Montag served as president of the German Ice Skating Union from 1980 to 1996. In 1980, he opened the West German national figure skating training center in Oberstdorf. He presided over the 1983 European Figure Skating Championships hosted in Dortmund, and served as vice-president of the German Ice Sports Federation in 1988. He also acted as head of delegation for West Germany at the 1984 Winter Olympics, and led the West German delegation in figure skating at the 1988 Winter Olympics, the 1991 World Figure Skating Championships, and the 1995 European Figure Skating Championships.