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:
Rings - seventh place
Individual all-around - eleventh place
Parallel bars - eleventh place
Sidehorse vault - twelfth place
Pommel horse - 22nd place
Rope climbing - 24th place
Horizontal bar - 35th place
Team all-around - did not finishFour years later he was a member of the Czechoslovak gymnastic team which won the silver medal.