Police are not treating the man and woman’s death as suspicious and said the remains of the couple showed signs of hyperthermia. Tourists came across the body of the woman on a footpath leading to Sólheimasandur, close to where the US Navy jet crashed in 1973. The man’s body was found two hours later, approximately 150 metres away.
Police believe the pair were travelling together and died from exposure to the freezing temperatures.
A rental car with broken windows was found at the Sólheimasandur car park and is thought to have been driven by the couple.
Officers said there was no sign their deaths are a “criminal act”.
They are believed to have been visiting the plane crash site, where the hulk of the plane still rests.
Chief constable of South Iceland Police, Oddur Árnason, told Iceland Review: “It’s unusual to find two bodies in open country.
“We know that they passed traffic cameras on Hvolsvellir on Monday at around 3pm and that on Monday and Tuesday the weather was egregious, which offers some clues.
“We don’t want to make assumptions, however.”
An autopsy will be held next week to establish the cause of the couple’s death.
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The wreckage of the plane has been left there even since, with just an empty fuselage now remaining.
It has become a tourist destination as the aircraft remains relatively intact, and is set in eerily beautiful scenery.
The site isn’t easy to reach, particularly in harsh weather conditions, after locals banned vehicles on the land.
Vistors must park two hours away from the wreckage and walk over two miles to reach it.
There is a shuttle bus to the site, but many holidaymakers decide to walk instead.
In 2015 Justin Bieber skateboarded on the plane’s wreckage, which featured in the music video of I’ll Show You.