Stockport RFC was a Rugby League club in Stockport, Cheshire, England. The club became founder members of the Northern Rugby Football Union (now Rugby Football League) after the English rugby schism, and resultant breakaway meeting at the George Hotel, Huddersfield, in 1895. They played for eight seasons from 1895–96 to 1902–03, when they finished bottom of the newly instituted Division Two. Like several other Cheshire clubs, they participated in the Lancashire competitions. They had a rivalry with fellow Cheshire side Runcorn RFC.