Sir Hugh Wyndham SL (1602 – 24 December 1684), of Silton, near Gillingham, Dorset, was an English Judge of the Common Pleas and a Baron of the Exchequer.
He was born at Orchard Wyndham, Somerset, the eighth son of Sir John Wyndham (1558–1645) of Orchard Wyndham, by his wife Joan Portman, daughter of Sir Henry Portman (d.1590) of Orchard Portman, Somerset. His younger brother was the judge Sir Wadham Wyndham (d.1668).
He was educated at Wadham College, Oxford, which college had been founded by his paternal grandmother's brother, Nicholas Wadham (d.1609). He was admitted to Lincoln's Inn on 19 March 1622, and was called to the bar on 16 June 1629, becoming a Bencher in 1648. On 2 January 1643 he was made MA of Oxford University by Royal Warrant.
In February 1654 he became a serjeant-at-law on the authority of parliament. He was appointed a judge of the court of common pleas on 30 May 1654 by Lord Protector Oliver Cromwell, and was appointed to the commission of oyer and terminer charged with dealing with the Penruddock uprising in 1655. Despite his promotion under Oliver Cromwell, he was looked upon with some suspicion by the Commonwealth, and in 1651 his home at Silton was searched by order of the Council of State, upon information that some design against the peace had lately been planned there. The search produced nothing incriminating.