Joseph Paul Gleason (July 9, 1895 – September 8, 1990) was a pitcher in Major League Baseball. He played for the Washington Senators.He began his professional career with the New Bedford Whalers of the class C Colonial League in 1914. After his appearance with the Washington Senators, he played minor league baseball for several more years, ending his career with the Scranton Miners and Elmira Colonels of the New York–Pennsylvania League in 1931.