Tudor was descended from a Montgomeryshire family, prominent in the affairs of Welshpool, where his father Henry was born in 1738. He was apprenticed in London as a silversmith, but moved to Sheffield, where in 1758 he married Elizabeth Dodworth, the sister-in-law of Thomas Bolsover, the inventor of the silverplating process. Soon afterwards, in partnership with Thomas Leader, he established a silversmith’s business, which became the first to exploit the commercial possibilities of silverplating. He lived in a fine Adam house close to his factory and received a grant of arms in 1775. His first wife died childless in 1781 and two years later he married Elizabeth Rimington, with whom he had two sons, Henry (1788-1864) and George, and four daughters. His second wife died in 1800 and he died, a wealthy man, in 1803.
George Tudor was also bred to the bar, but did not persevere in that line. At the general election of 1830 he came forward for the venal borough of Barnstaple as the ‘popular candidate’ of the resident freemen, who were at odds with the corporation. In his address he claimed to be ‘entirely free from the spirit and engagement of party’, but he said he would ‘cordially support the government in such measures as may tend to ameliorate the burthens of the people’. Yet at the nomination he was reported to have ‘avowed his principles to be "decidedly ministerial"’. He was returned in second place, at a reputed cost of £8,000.
Tudor subsequently moved from Park Crescent to 41 Portman Square and acquired a freehold house and hotel on the Avenue de Matignon in Paris. In 1854 he bought East Cowes Castle on the Isle of Wight, the residence built in 1798 by the architect John Nash for his own use.