The 1905 Cleveland Naps season was a season in American baseball. The team finished fifth in the American League with a record of 76–78, 19 games behind the Philadelphia Athletics. The Naps were 52-29 on July 24th, and held a three game lead in the American League, but they were only 24-49 after that point, and finished two games under .500 after having been 23 games over .500