André Fleury (born March 30, 1882, date of death unknown) was a French sports shooter who competed in the 1912 Summer Olympics and in the 1920 Summer Olympics.
He was born in Chantilly, Oise.
In 1912 he was a member of the French team which finished sixth in the team clay pigeons event. In the individual trap competition he finished 27th.
Eight years later he was part of the French team which finished seventh in the team clay pigeons event.