Francis Rivett (c 1596 – 6 April 1669) was an English landowner and politician who sat in the House of Commons at various times between 1654 and 1660. Rivett was probably admitted at Emmanuel College, Cambridge on 29 May 1612 and awarded BA in 1616. In about 1649 Rivett purchased the estate of King's Somborne from Richard Gifford. In 1654, Rivett was elected Member of Parliament for Hampshire in the First Protectorate Parliament. He was elected MP for Stockbridge in the Third Protectorate Parliament in 1659. In 1660, Rivett was elected MP for Stockbridge in the Convention Parliament.