Joseph Cockroft (20 June 1911 – February 1994) was an English footballer who played in the Football League for Rotherham United, West Ham United, Sheffield Wednesday and Sheffield United. Cockroft played for Yorkshire Paper Mills, Barnsley Old Boys, Ardsley Athletic, Wombwell, Rotherham United and then Gainsborough Trinity before moving to West Ham United, then of Division Two, in 1933.