A man and a seven-year-old boy were seriously injured in the crash.
The bodies of both have been recovered from the wreckage and have been taken for post-mortem examinations at the Midland Regional Hospital in Tullamore.
Emergency services are at the scene of Sunday afternoon's crash in Co Offaly.
The plane crashed near Mount Lucas shortly before 2.30pm on Sunday afternoon, May 13.
It's reported that all 16 onboard successfully made their exit from the plane but eyewitnesses on the ground saw the plane go down.
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Gardai and ambulance personnel rushed to the scene.
They said Gardaí and emergency services are at the scene of the crash.
Just the pilot and the young boy were on board when the plane crashed.
The Air Accident Investigation Unit has confirmed it is investigating the circumstances of the crash.
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Eddie Fitzpatrick, a local councillor, added the airfield is popular for parachuting and "fundraising jumpers".
"These flights have been happening for the last 20 years and this is the first time I've heard of a plane going down - it is very worrying".
Local Sinn Féin councillor Martin O'Reilly said: "We've never seen an accident like this before".
"My thoughts are to all those affected".
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