[1] Compton cleared Norfolk 17 February 1945 for training at Pearl Harbor between 16 March and 5 April, when she sailed to escort ships to Kwajalein and Eniwetok.

As the operations there continued, Compton offered gunfire support to forces ashore and served in the antisubmarine and antiaircraft screens protecting shipping off the island.

On 12 May she covered the occupation of nearby Tori Shima, and while returning to her station off Okinawa was attacked by a lone Japanese plane which she splashed.

Assignment to duty with the 6th Fleet in the Mediterranean came once more in 1953 and 1955, and in the spring of 1956, Compton exercised off Bermuda with ships of the British Home Fleet in NATO operation "New Broom V."[1] During the summer of 1953, Compton was the flagship of Destroyer Squadron 8, and along with two cruisers, spent six weeks touring the Caribbean on a midshipman cruise carrying contract (reserve) midshipmen from universities around the country.

With the Suez Canal closed, Compton made her homeward passage by way of Mombasa, Durban, the Cape of Good Hope, Simonstown, Recife, and Trinidad, returning to Newport on 8 January 1957.

From November 1957 to April 1958, she again served in the Mediterranean, the Persian Gulf and the Red Sea, and that summer cruised to Rotterdam and Bergen with midshipmen on board for training.

The ship's routine for the cruises was to leave Boston, rendezvous with another destroyer and a submarine off the New England coast, perform anti-submarine warfare exercises, and proceed to Halifax, Nova Scotia, Canada, for a brief "liberty", where the Canadian Navy would host sailors from Compton in its enlisted club.

During these cruises, enlistees were given the opportunity to experience shipboard life, including firing the weapon systems such as Hedgehog, depth charges, and 5-inch (127 mm) guns.