Oluf Olsson (30 May 1873 – 25 June 1947) was a Danish gymnast who competed in the 1906 Intercalated Games, the 1908 Summer Olympics, and the 1912 Summer Olympics.
At the 1906 Intercalated Games in Athens, he was a member of the Danish gymnastics team, which won the silver medal. He was part of the Danish team, which finished fourth in the gymnastics team event in 1908. Four years later he won the bronze medal in the gymnastics men's team, free system event.