A pilot from Horsham died when his aircraft came down on Saturday (Saturday April 28).
Hampshire police say the aircraft came down near Middle Wallop.
Emergency services were called at 4.55pm after the civilian aircraft came down on the airfield at the Army Aviation Centre.
The aircraft was a single engine, single wing replica World War I aircraft which was involved in a practice display at the time.
Hampshire police say the pilot, a 68-year-old man from Horsham who has not been named, was the only person onboard.
He was pronounced dead at the scene.
The investigation is being led by the Air Accident Investigation Branch with support from Hampshire Constabulary