USS Henley (DD-391), a Bagley-class destroyer, was the 2nd ship of the United States Navy to be named for Captain Robert Henley, an officer in the United States Navy during the Quasi-War with France, the War of 1812 and the Second Barbary War.

The Bagley class of eight destroyers was built for the United States Navy. They were part of a series of USN destroyers limited to 1,500 tons standard displacement by the London Naval Treaty and built in the 1930s. All eight ships were ordered and laid down in 1935 and subsequently completed in 1937. Their layout was based on the concurrently-built Gridley class destroyer design and was similar to the Benham class as well; all three classes were notable for including sixteen 21 inch torpedo tubes, the heaviest torpedo armament ever on US destroyers. They retained the fuel-efficient power plants of the Mahan-class destroyers, and thus had a slightly lower speed than the Gridleys. However, they had the extended range of the Mahans, 1,400 nautical miles (2,600 km) farther than the Gridleys. The Bagley class destroyers were readily distinguished visually by the prominent external trunking of the boiler uptakes around their single stack.