Henry Cary, 1st Viscount Falkland PC (c. 1575 – September 1633) was an English landowner and politician who sat in the House of Commons from 1601 to 1622. He was created Viscount Falkland in the Scottish peerage in 1620. He was lord-deputy of Ireland from 1622 until 1629.
Cary was the son of Sir Edward Cary, of Berkhamstead and Aldenham, Hertfordshire, Master and Treasurer of His Majesty's Jewels, and his wife Catherine Knevet or Katherine Knyvett, daughter of Sir Henry Knevet or Knyvett, Master of the Jewel Office to Queen Elizabeth and King James, and wife Anne Pickering, and widow of Henry Paget, 2nd Baron Paget. His father was the son of Sir John Cary (d. 9 September 1552) and wife Joice Denny (d. from 10 November 1560 to 30 January 1560/61) and nephew of Sir William Carey.
He entered Gray's Inn in 1590 and entered Exeter College, Oxford in 1593 at the age of sixteen. According to Wood, by the aid of a good tutor Cary became highly accomplished. Subsequently, he served in France and the Low Countries, and was taken prisoner by Don Luis de Velasco, probably at the siege of Ostend (a fact referred to in the epigram on Sir Henry Cary by Ben Jonson).
On his return to England Cary was introduced to court, and became Gentleman of the Bedchamber. He was knighted at Dublin in 1599. In 1601 he was elected Member of Parliament for Hertfordshire. He was a J.P. for Hertfordshire in 1601. He became joint master of the jewels with his father on 21 June 1603. In 1604 and 1614 he was re-elected MP for Hertfordshire. At the investiture of Charles Prince of Wales in 1616 he was created a K.B.. In 1617 he became Comptroller of the Household and a Privy Councillor. He succeeded to the family estates on the death of his father in 1618. He was created Viscount Falkland in the county of Fife, in the Scottish peerage on 10 November 1620 (the title, with his naturalisation, was confirmed by Charles I by diploma in 1627). In 1621 he was re-elected MP for Hertfordshire; his Scots peerage gave him the right, which he was the first to exercise, of sitting in the English Commons.