A US Navy patrol aircraft has been destroyed after veering off course while landing at a base north of the Afghan capital of Kabul.

"A Navy P-3 Orion airplane overshot the runway surface while landing at Bagram Air Field. The airplane sustained serious structural and fire damage," the US military said.

None of the crewmembers were seriously hurt; one suffered a broken ankle, the military said, adding that the incident was under investigation, Reuters reported.

Bagram is the largest US military base in Afghanistan, located just north of Kabul.

The P-3 Orion is a patrol aircraft used primarily for maritime patrol, reconnaissance and anti-submarine warfare.