 Redmond received three All Stars for his performances with Dublin, in 1993, 1994 and in his only all-Ireland winning year with Dublin in 1995.He scored a goal in the 1995 All-Ireland final win over Tyrone which ended on a scoreline of 1–10 to 0–12; later in the same game he was controversially sent off.He also was on Dublin's winning side when Dublin won the National Football League in 1991 against neighbouring side Kildare; the game finished on a scoreline of 1–9 to 0–10.