USS Stockton (DD-646), a Gleaves-class destroyer, was the third ship of the United States Navy to be named for Commodore Robert F. Stockton.

The Gleaves-class destroyers were a class of 66 destroyers of the United States Navy built 1938–42, designed by Gibbs & Cox. The first ship of the class was USS Gleaves. They were the destroyer type that was in production for the US Navy when the United States entered World War II.