Henry Richard Greville, 3rd Earl of Warwick, 3rd Earl Brooke KT (29 March 1779 – 10 August 1853), styled Lord Brooke from 1786 to 1816, was a British Tory politician.
Warwick was the son of George Greville, 2nd Earl of Warwick, by his second wife Henrietta (née Vernon), and was educated at Winchester. He entered Parliament as one of two representatives for Warwick in 1802, a seat he held until he succeeded his father in the earldom in 1816. He served as a Lord-in-Waiting (government whip in the House of Lords) from 1841 to 1846 in the second Tory administration of Sir Robert Peel. Warwick was also a Recorder of Warwick between 1816 and 1813, Lord-Lieutenant of Warwickshire between 1822 and 1853 and a Lord of the Bedchamber between 1828 and 1830. In 1827 he was made a Knight of the Thistle.
Lord Warwick married Lady Sarah Elizabeth, daughter of John Savile, 2nd Earl of Mexborough, and widow of John Monson, 3rd Baron Monson, in 1816. She died in January 1851, aged 64. Warwick survived her by two years and died in August 1853, aged 74. He was succeeded in the earldom by his son George.