Sir Francis Popham (1573–1644) was an English soldier, landowner and politician who sat in the House of Commons at various times between 1597 and 1644.
Popham was the only son of Sir John Popham of Littlecote and his wife Amy Adams, daughter of Hugh Adams of Castleton, Glamorgan. He matriculated at Balliol College, Oxford, on 17 May 1588 at the age of 15, and entered Middle Temple in 1589. He saw service with the Earl of Essex in Spain and was knighted by him at Cadiz in June 1596.
In 1597 Popham was elected Member of Parliament for Somerset. He was a J.P. for Wiltshire from 1597 and for Somerset by 1602. He was also Deputy Lieutenant for both counties. In 1603 he was made Knight of the Bath. He was elected MP for Wiltshire in 1604. In 1607 he succeeded to the estates of Littlemore on the death of his father. He became constable of Taunton castle in 1613. In 1614 he was elected MP for Marlborough and in 1621, MP for Great Bedwin. He was elected MP for Chippenham at a by-election in 1624 and was re-elected for the same seat in 1625, 1626 and 1628. He sat until 1629 when King Charles dispensed with parliament for eleven years.
Popham was considered to have inherited his father's grasping disposition. He was constantly involved in lawsuits, which he was charged with conducting in a vexatious manner. Like his father, he took an active interest in the settlement of Virginia and New England, and was a member of council of both countries.
Popham was buried at Stoke Newington on 15 August 1644, but in March 1647 was moved to Bristol.
Popham married Anne Dudley, daughter and heiress of John Dudley of Stoke Newington, Middlesex. They had seven daughters and four sons including John and Alexander who were both MPs and Edward, a General at Sea during the English Civil War.