Eugène Jean François Balme (22 November 1874 – 24 February 1914) was a French sport shooter who competed at the 1900 Summer Olympics and 1908 Summer Olympics. In 1900 at Paris he won the bronze medal in the 25 metre rapid fire pistol event. Eight years later at London he won another bronze medal in the team free rifle event and was fourth in team military rifle event. He was born in Oullins and died in Paris. He committed suicide by shooting himself.