A gunman killed four US Marines earlier this week after opening fire at two military facilities in the city of Chattanooga.
The suspect was identified by the FBI as 24-year-old Mohammod Youssuf Abdulazeez, a naturalised American born in Kuwait who was also killed in the incident.
The FBI said there was "no indication" that anyone else was involved in the shooting as law enforcement authorities continued to investigate the motive for the attack.