The Red Arrows nine-plane stunt team had finished a display over the seafront in Bournemouth, 100 miles (160 kilometers) south of London, and was returning to the airport when one of the jets crashed.
Police said officers were called to the site just before 2 p.m (1300GMT) by a member of the public who saw the crash. They cordoned off an area near a village where the Royal Air Force Hawk T1 jet came down, about a mile (1.6 kilometers) from Bournemouth Airport.
Amateur footage showed one of the jets arcing toward the ground as it flew low over farmland.
Local resident Shaun Spencer-Perkins said the plane came down in fields, near a river.
“I heard a rushing sound and I saw a plane about 15 meters (50 feet) above the ground racing across the fields,” he told the BBC. He said that the jet “hit the ground, exploded into pieces,” and two members of the public jumped into the river to search for the pilot.
The Ministry of Defense said it was aware of an incident involving the Red Arrows and was investigating. It gave no further details.
Police said a military air accident team would investigate the cause of the crash.
The Bournemouth Air Festival, which runs until Sunday, said events were continuing as scheduled.
The Red Arrows are famous for their airborne stunts, red, white and blue vapor trails, dramatic flypasts and trademark diamond formation. Formed in 1965, they have flown more than 4,000 displays in 53 countries. Their red single-engine jet trainers are a familiar sight at air shows and military events.
The pilots are drawn from front-line RAF squadrons, and return to active duty after three years with the Arrows. In 2009, Flight Lt. Kirsty Moore became the first female member of the team.
The nine-pilot team last had an accident in March 2010, when two jets crashed in training in Crete. Neither pilot was seriously injured in that incident.
