"We are aware of reports of attacks on the USS Carney and commercial vessels in the Red Sea, and will provide information as it becomes available," the Pentagon said.
The Pentagon did not specify where the fire is believed to have come.
The US announcement signals an escalation in a series of naval attacks in the Middle East, linked to the violent Israeli escalation in the Gaza Strip.
The British military had earlier reported a drone attack and explosions in the Red Sea, without elaborating.
The Red Sea has seen a series of Houthi attacks on ships, as well as drones and missiles aimed at Israel, which is waging war on the Gaza Strip.