The Fly Jamaica Airways plane was carrying 126 people.
It says Flight OJ256 "suffered an accident on landing", but offered no other details on the nature of the accident or possible injuries.
A spokesman for the airline said it "suffered an accident on landing", but all 118 passengers and eight crew were safe.
The Airline has since said it is providing local assistance and "will further release information as soon as it is available".
The flight reportedly left Guyana at 2:10 am local time today and at 2:21 am, the pilot indicated an hydraulic problem, requesting permission to return.
Its right wing and engine were badly damaged.
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According to a report on the Canadian Broadcasting Corporation (CBC) website, Rabina Roopnarine got a call from her mother, Bebe Ali, who was among those on the plane.
Moments before that crash, the pilot had reported problems with his Boeing 737 Max 8 aircraft and had asked to come back to the airport.
The Cheddi Jagan International Airport has since been reopened to regular traffic. Roopnarine said she was told the plane was filled with smoke and passengers were trying to force their way off.
She said Fly Jamaica has been providing frequent updates via its social media channels. The Public Infrastructure Minister said the United States' National Transportation Safety Board has been informed.
The plane crashed into a feance and its front wheel became wedged in a pile of sand that was being used for a runway expansion project.
The Fly Jamaica aircraft crashed upon landing at the CJIA. It is headquartered in Jamaica.
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