The neighborhood is in the town of Cameron. The incident occurred around 1 p.m. during a training exercise.
"A load of some kind was released early and we're looking into how it happened," said Michael Novogradac, a spokesman for the U.S. Army's Operational Test Command.
The C-17 aircraft carries supplies and equipment into war zones and, on Wednesday, the special operations team was practicing that type of scenario when the accident happened.
Only two items were aboard the aircraft, which was flying at about 1,500 feet in altitude -- the Humvee and a new heavy-drop platform.
About a mile from the drop zone at Fort Bragg, the platform went out the back of the C-17.
"Everything went as planned except for the early release," said Fort Bragg spokesperson Tom McCollum.
The three parachutes attached to the Humvee deployed properly.
The C-17 Globemaster III was from the 437th airlift wing based at Joint Base Charleston.
The incident is under investigation.
UPDATE: @FtBraggNC now says it was a C17 that prematurely dropped a humvee during a training exercise. No injuries and no property damage. As with C130’s, the C17 also carries soldiers, supplies and equipment. #abc11— Morgan Norwood (@MorganABC11) October 24, 2018