Francis Andrews (6 August 1718 – 18 June 1774) was an Anglo-Irish politician and academic who served as the 20th Provost of Trinity College Dublin from 1758 to 1774.
Andrews was born in Derry in 1718, and was educated at Trinity College Dublin.
In 1758, he was appointed Provost of Trinity College Dublin, and in 1759 was elected to the Irish House of Commons for Midleton.
He was appointed to the Irish Privy Council on 6 April 1761.
On his death in 1774 he left £3,000 to found the Andrews chair of astronomy at Trinity College and the Dunsink Observatory.