Müller was born in Bayrischzell. At the age of 24 years, he participated at Nordic combined of the 1928 Winter Olympics, where he placed 21st in the final ranking. He also participated at the FIS Nordic World Ski Championships 1933, and was member of the Bronze teams at the first and second edition of the legendary Trofeo Mezzalama race, in 1933 together with Willy Bogner and Matthias Wörndle, and in 1934 together with Franz Fischer and Matthias Wörndle.