Emergency services were called to reports of a collision with a Warrior armoured fighting vehicle around Salisbury Plain, near Tidworth, at 10.45am on Tuesday.
The soldier, who was serving with the 5th Battalion The Rifles, sustained severe head injuries.
Salisbury Plain is a large military training area, and the incident is confirmed to have taken place during a training incident.
A Wiltshire Police statement reads: "A soldier has sadly died following a collision involving an armoured vehicle on Salisbury Plain.
"Emergency services were called to an area of Salisbury Plain, just west of Tidworth, at approximately 10.45am yesterday (21/6) following a report that a man had been involved in a collision with a Warrior armoured fighting vehicle during a routine training exercise.
"A 26-year-old man sustained significant head injuries and sadly died at the scene.
"He has been identified as a member of 5th Battalion The Rifles.
"Our thoughts are with his family, friends and colleagues at this difficult time. His family are being supported by a specialist family liaison officer.
"An investigation into the collision is being led by Wiltshire Police alongside the Army and Health and Safety Executive."
An Army Spokesperson said: “It is with great sadness that we can confirm the death of a soldier in Wiltshire on 21June, 2022.
"Our thoughts are with the soldier’s family and friends at this difficult time and we ask that their privacy is respected.”
A British soldier has died
Corporal Rob Kane
The incident took place on Salisbury Plain
Wiki Commons
