Robert Bertie, 4th Duke of Ancaster and Kesteven, PC (17 October 1756 in Grimsthorpe – 8 July 1779 in Grimsthorpe), styled Lord Robert Bertie until 1758 and Marquess of Lindsey between 1758 and 1778, was a British peer. He was the second son of the General Peregrine Bertie, 3rd Duke of Ancaster and Kesteven (died 1778) and Mary Panton (died 1793)
On the death of his elder brother, Peregrine Thomas Bertie, Marquess of Lindsey, on 12 December 1758, he inherited the courtesy title of Marquess of Lindsey. He was educated at Eton College and St John's College, Cambridge.
About 1777, he served as a volunteer in North America. A lieutenant in the 7th Regiment of Foot, on 20 January 1778, he was promoted to a captaincy in the 15th Regiment of Foot.
On his father's death on 12 August 1778, he succeeded as 4th Duke of Ancaster and Kesteven, 4th Marquess of Lindsey, 7th Earl of Lindsey, 20th Baron Willoughby de Eresby and Hereditary Lord Great Chamberlain. He was the last to hold the Lord Great Chamberlainship as an undivided office. On 12 February 1779 he was invested as Privy Counsellor and was Lord Lieutenant of Lincolnshire.
He never married and died on 8 July 1779 from scarlet fever. He was buried on 22 July 1779 in Edenham. On his death, the Hereditary Lord Great Chamberlainship and the Barony Willoughby de Eresby fell into abeyance between his two sisters, all other titles of his passed to his uncle. An illegitimate daughter of the 4th duke, Susan, was married to Banastre Tarleton; but there were no children.