William Kirkwood (born 1 September 1958) is a Scottish coach and former footballer. He began as a forward before moving to midfield. He began his career with Dundee United, where he made 399 appearances in two spells between 1975 and 1987. He won three major domestic trophies with the club, the Scottish League Cup in 1979 and 1980 and the Premier Division title in 1983. He also featured for United in many European runs including to the 1983–84 European Cup semi final and the 1987 UEFA Cup Final.