Eyewitness reported pilot ejection from the two seat aircraft before crashing into the runway.
It's thought the aircraft was flying from RAF Valley to the team's base at RAF Scampton in Lincolnshire when it crashed.
The Welsh Ambulance Service was called shortly before 1:30pm - and an air ambulance was also sent.
THE Ministry of Defence has confirmed they are 'aware of an incident at RAF Valley involving a Hawk aircraft'.
Until that time it would be inappropriate to add anything further.
Members of the Red Arrows will play against the Battle of Britain Memorial Flight crew in a charity football match on Tuesday night. "Then it looked like it was about to land, then next thing I saw was the parachute and then the plane hit the runway and went up in flames".
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North Wales Police is reportedly set to launch a full investigation into the crash.
An air ambulance has been scrambled to RAF Valley to assist the emergency services already on scene.
Two years later, four people were killed when a couple of Gnats collided during a cross-over manoeuvre.
She said: "I did not see the crash but I heard a very loud noise - we are used to the planes going over but this was unusual".
"The engineer's family have been informed and have asked for a 24-hour period of grace before further details are released".
"It is with great sadness that the MoD must confirm the death of an engineer from the RAF Aerobatics Team (the Red Arrows) in a tragic accident today", an RAF spokesperson told The Telegraph.