Francis Andrews (1718 – 18 June 1774) was an Irish politician.

Andrews was born in Derry and educated at Trinity College Dublin.^[1] and became a Fellow in 1740.

In 1758 he was appointed Provost of Trinity College Dublin, and in 1759 was elected to the Irish House of Commons for Midleton. From 1761 until his death he sat for the City of Londonderry. 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 and the Dunsink Observatory.