Framlingham Gawdy (8 August 1589 – 1654) was an English politician who sat in the House of Commons from 1614 to 1648.
He was a passive Parliamentarian during the English Civil War.
Gawdy was the son of Sir Bassingbourne Gawdy of West Harling, Norfolk and his wife Anne Framlingham, daughter of Sir Charles Framlingham of Crow's Hall, Debenham, Suffolk.
He was re-elected in November 1640 as MP for Thetford in the Long Parliament and held the seat until 1648 when he was excluded under Pride's Purge.
His son William Gawdy was also MP for Thetford and was created a baronet and his grandson Sir John Gawdy, 2nd Baronet, who was deaf and mute was a celebrated painter.