Trump has floated this idea before — in March, he said he initially conceived it as a joke — and offered few details about how the force would operate.
The wound is believed to have occurred because of a negligent discharge, though that is under investigation.
No 'cessation' of military training has been ordered, U.S. military officials said.
'Grandiose' weapons acquisition plans caused problems in the past, said Army Secretary Mark T. Esper.
Britt Slabinski will receive the award for actions in 2002, but the status of a Medal of Honor case for a U.S. airman who served with him is unclear.
An Air Force tweet was “made in poor taste,” the service said.
The video shows U.S. troops carrying Army Sgt. La David Johnson's remains into a helicopter after he had been considered missing for two days.
Seventeen sailors were killed in two Navy ship collisions last year.
Embassy reinforcements are sought by the State Department at times when diplomatic facilities are considered as facing a heightened risk of violence.
A scandal erupted after Trump spoke to Sgt. La David Johnson’s widow. But the time it took the U.S. military to find the soldier’s body in Niger also made the case exceptional.