USS Monssen (DD-436), a Gleaves-class destroyer, was the first ship of the United States Navy to be named for Mons Monssen, who was awarded the Medal of Honor for his actions aboard USS Missouri (BB-11) in 1904. Commissioned in 1941, the destroyer saw service during World War II in both Atlantic and Pacific Oceans. Monssen was sunk at the Naval Battle of Guadalcanal on 13 November 1942.

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.