Following shakedown off Bermuda, Moore steamed to Norfolk, Virginia, where she reported for duty with task force TF 63, then escorted merchant convoys, beginning 10 September 1943.
On 13 January 1944, she relieved USS Decker (DE-47) for a month of operations off the New England coast under Com Fleet Air Wing, Quonset Point, Rhode Island.
A unit of the U.S. 4th Fleet for under 2 months, she returned to Norfolk, 27 April, and, in May, continued her patrols with Tripoli in the North Atlantic, from Bermuda to Argentia, Newfoundland, in TG 22.4.
For the remainder of the war in Europe she operated with Core, cruising along the east coast and in the western Atlantic from Cuba to Newfoundland.
On 4 August she arrived at Pearl Harbor, where, 10 days later, she received word of the Japanese agreement to Allied surrender terms.