Sir Francis Popham KB (1646–1674), of Littlecote House, Wiltshire and Houndstreet, Somerset, was an English politician.
He was the eldest surviving son of Alexander Popham of Littlecote.
He was a Member (MP) of the Parliament of England for Bath from 1669 to 1674.
He succeeded his father in 1669 and was made a Knight of the Bath the same year.
This article about a 17th-century member of the parliament of England (up to 1707) is a stub.