HMS Tarpon was a Royal Navy R-class destroyer constructed and operational in the First World War. She is named after the large fish Tarpon; one species of which is native to the Atlantic, and the other to the Indo-Pacific Oceans. Tarpon was built by the shipbuilders John Brown & Company at their Clydebank shipyard and was launched in March 1917 and entered service in April that year.

The first R class were a class of 62 destroyers built between 1916 and 1917 for the Royal Navy. They were an improvement, specifically in the area of fuel economy, of the earlier Admiralty M-class destroyers. The most important difference was that the Admiralty R class had two shafts and geared turbines, compared with the three shafts and direct turbines of the Admiralty M class, but in appearance the R class could be distinguished from its predecessors by having the after 4-inch gun mounted in a bandstand. The Admiralty ordered the first two of this class of ships in May 1915. Another seventeen were ordered in July 1915, a further eight in December 1915, and a final twenty-three in March 1916.