USS Cony (DD-508) was a Fletcher-class destroyer of the United States Navy. She was launched on 16 August 1942.
The ship was commissioned on 30 October 1942. H. D. Johnson became her captain that day and held command from the start of her commissioned service.
On 25 October 1944 Cony took part in the Battle of Surigao Strait. Her duty there was to screen the battle line, staying with the heavy ships as the formation went into action in the strait.
Cony survived the war. The destroyer that had screened the battle line at Surigao Strait was still afloat when the fighting ended.
On 20 March 1970 she was sunk as a target. That sinking brought the career of the hull to an end, long after she had come through the war.
