Named after the parsonage of Fulham, which stood beside the green.
Fulham's rectory stood here from the 14th century, on the site of today's St Dionis' church, and the green's name was later adopted for the whole district. A clump of trees on the green was known as Parson's Grove by 1424. It is said that the parson played bowls on the green in the early 18th century, when the old rectory was replaced by two brick houses.