Jan Koutný (24 June 1897 – 18 July 1976) was a Czech gymnast who competed for Czechoslovakia in the 1924 Summer Olympics and in the 1928 Summer Olympics. He was born in Vyškov and died in Prague.
In 1924 he won a silver medal in the vault competition. At the 1924 Summer Olympics he also participated in the following events:[1]
Four years later he was a member of the Czechoslovak gymnastic team which won the silver medal.