Francis Smith, 2nd Viscount Carrington (c. 1621 – 7 April 1701), was an English peer.
Smith was the son of Charles Smyth, 1st Viscount Carrington, by his wife Elizabeth Caryll, daughter of Sir John Caryll, of South Harting, Sussex.
He succeeded in the viscountcy in 1665 when his father was murdered at Pontoise, France by one of his servants.
[2] In 1687 he was appointed Lord-Lieutenant of Worcestershire by James II, being excused as a Catholic the taking of the oaths of supremacy and allegiance.
[4] As he had no surviving children the viscountcy passed to his younger brother, Charles.