Melchior Rudolf Bürgin (born 17 October 1943) is a former Swiss rower who competed at the 1964, 1968 and 1972 Summer Olympics.

Bürgin partnered Martin Studach in the double sculls rowing for Switzerland at the 1964 Summer Olympics when they came fourth.

In 1965 they won the Double Sculls Challenge Cup at Henley Royal Regatta[2] and the European Championships.

Burgin won the double sculls at Henley again in 1969 partnering Denis Oswald.

Bürgin competed for Switzerland at the 1972 Summer Olympics in the Single scull and reached the final to come sixth.