|Full name||Peter Frederick Simpson|
|Date of birth||13 January 1945|
|Place of birth||Gorleston, Norfolk, England|
|Playing position||Centre half, Left half|
|1967||Toronto Falcons (loan)||13||(0)|
|1968||Boston Beacons (loan)||2||(0)|
|1978–1979||New England Tea Men||50||(0)|
|* Senior club appearances and goals counted for the domestic league only.
Peter Frederick Simpson (born 13 January 1945) is an English former football player.
Born in Gorleston, Suffolk, (joined Gt Yarmouth in Norfolk from 1974 following boundary changes) Simpson initially joined Arsenal as a member of the club's groundstaff in 1960, before signing as an apprentice a year later in October 1961. He turned professional seven months later, in May 1962. He played for Arsenal's youth and reserve teams at first, before making his first team debut against Chelsea, in a First Division match on 14 March 1964; Arsenal lost 4–2.
He was not immediately a regular in the Arsenal side, making just 22 appearances over the course of three seasons. However, with the appointment of Bertie Mee before the start of the 1966–67 season, Simpson was promoted to a first-team place, and became a mainstay of the Arsenal side for the best part of a decade. He started out as a utility man playing in every outfield position, but by the time he was a regular he had settled into the centre half position, usually alongside Frank McLintock.
Simpson was a leading figure in Arsenal's brief period of success in the early 1970s. After losing both the 1968 and 1969 League Cup finals, Simpson was a key part of the side that won the Inter-Cities Fairs Cup in 1969–70, and he made a total of 57 appearances in all competitions that season. Simpson went on to be part of the side that won the League Championship and FA Cup Double in 1970–71; though he missed the first three months of that season with a cartilage problem, he returned in time for the FA Cup run, and appeared in the final, a 2–1 victory over Liverpool after extra time.
Despite his long career at the top, he was never capped for England, although he was called into a few squads by Sir Alf Ramsey during 1969–70. He continued to play for the club in the trophyless years following the Double, playing more than 35 games a season for four seasons. However, by 1975 age was starting to get the better of him, and he only played nine times in 1975–76. Despite a recall in 1976–77, earning 25 appearances, he was dropped again the following season. He left Arsenal in 1978, having played 477 times for the club, with 15 goals to his name; as of 2006 he is tenth in the Arsenal all-time appearances list.