Triumph was commissioned in February 1702 as the flagship of Admiral Sir George Rooke. Rooke's flag captains were William Bokenham and John Fletcher, though Bokenham was transferred to another vessel five months later. In November 1702 the ship passed to Rear-Admiral Sir John Graydon, with Captain Richard Hughes as flag-captain. After a voyage with Rooke's squadron to the Spanish port of Cadiz, the ship was paid off in December and her crew dispersed to other vessels.[4]
Triumph was recommissioned in March 1703 under Captain James Stewart, as the flagship of Admiral Cloudisley Shovell. She was assigned to cruise off the Spanish Mediterranean coastline, and was again paid off in March 1704.[4]
She was renamed Prince in 1714. On 13 December 1742 Prince was ordered to be taken to pieces and rebuilt at Chatham, according to the 1741 proposals of the 1719 Establishment. She was relaunched on 8 August 1750.[2]
Prince continued to serve until 1773, when she was broken up.[5]