USS Eugene A. Greene (DD/DDR-711) was a Gearing-class destroyer of the United States Navy, named for Ensign Eugene A. Greene (1921–1942), who was posthumously awarded the Navy Cross for his heroism in the Battle of Midway.

The Gearing class was a series of 98 destroyers built for the U.S. Navy during and shortly after World War II. The Gearing design was a minor modification of the Allen M. Sumner class, whereby the hull was lengthened by 14 ft (4.3 m) at amidships, which resulted in more fuel storage space and increased the operating range.