John Alexander Thynne, 4th Marquess of Bath (1 March 1831 – 20 April 1896), styled Viscount Weymouth between March and June 1837, was a British peer and a diplomat for almost sixty years.
Born in St James's, he was the son of Henry Thynne, 3rd Marquess of Bath and his wife Harriet, second daughter of Alexander Baring, 1st Baron Ashburton. He succeeded his father as Marquess in June 1837, aged only six. Lord Bath was educated at Eton College and Christ Church, Oxford. He was a devout Anglo-Catholic and a determined opponent of the Public Worship Regulation Act 1874 which sought to suppress Ritualism in the Church of England.
He held the office of Envoy Extraordinary for the coronation of King Pedro V of Portugal on 27 May 1858, and Envoy Extraordinary for the coronation of the Emperor Franz Joseph I as King of Hungary on 25 July 1867.
From 1874 to 1893, he was a trustee of the National Portrait Gallery, as well as a trustee of the British Museum in 1883. He was Chairman of Wiltshire County Council and, having been a Deputy Lieutenant of Somerset from 1853, was appointed Lord Lieutenant of Wiltshire in 1889, a post he held until his death in 1896.