Weber was laid down on 22 February 1943 at Quincy, Massachusetts, by the Bethlehem Shipbuilding Company's Fore River Shipyard; launched on 1 May 1943; sponsored by Mrs. Matt A. Walsh; and commissioned on 30 June 1943.
Following post-shakedown availability, the new warship left Boston for several days of additional training—in antisubmarine warfare (ASW) tactics – out of New London, Connecticut.
While on such occasions they frequently attacked the strangers with depth charges, Weber and her sister escorts directed their greatest efforts to diverting their transports and cargo ships from the paths of U-boats.
As a result, confirmed U-boat kills eluded Weber; but she and the other escorts in the screens accomplished their primary mission of shepherding the convoys safely across the ocean.
In September, Weber made one round-trip voyage to Cherbourg; then returned to the United States via that route and arrived back at New York near the end of the month.
After a 10-day availability and four days of exercises, the ship proceeded to Norfolk, Virginia to join a convoy bound for North Africa and the Mediterranean Sea.
After landing the fishermen at Gibraltar, Weber continued on to Bizerte, Tunisia, where she stopped on 12 November, and thence proceeded to Palermo, Sicily, for repairs to damage sustained in the collision with the Portuguese trawler.
Her conversion indicated an impending reassignment to the Pacific theater where the UDT men played an important role in the initial stages of amphibious operations.
On 13 June, Weber departed Ulithi to escort California to Okinawa where the battleship was needed to render gunfire support to American forces subduing the defenders on the southern portion of the island.
On 25 June, she was assigned to a surface force built around battleships California and West Virginia, and cruisers Wichita, Tuscaloosa, San Francisco, St. Louis, and Chester.
Serving as antisubmarine and mine escort for that unit, she patrolled the waters around Okinawa until 1 July, protecting communications and supply lines.
Delivering her charges safely at Saipan on 12 July, she continued her voyage the following day and arrived at San Pedro Bay, Leyte, on the 17th.
She spent the remaining weeks of World War II at Leyte engaged in training exercises in preparation for the expected invasion of the Japanese home islands.
She and her colleagues arrived at Nagasaki the following day and began two weeks of service evacuating and caring for former Allied prisoners of war held in Japan.
On 7 October, the warship put to sea once more, this time bound for Qingdao and Taku in northern China with a convoy carrying marines for duty ashore there.
Her name was struck from the Navy List on 1 June 1960; and, a little over two years later, she was sunk as a target on 15 July 1962, by AGM-12 "Bullpup" air-to-surface (ASM) missiles.