Images posted on the airport's Facebook page and various sites showed the plane appearing to have gone through a chain link fence, with one of its engines tilted upward and resting on the fencing.
The 118 passengers on board the Boeing 757-200 included 82 Canadians.
The plane touched down at 2.53am, when it overshot the runway.
The plane, which had 120 passengers and eight crew members on board, had been in the air for about 20 minutes when the pilot indicated it was experiencing problems with its hydraulic system, Guyana officials said at a news conference.
The injuries suffered by the passengers were not life-threatening.
They were taken to hospital.
Uganda begins Ebola vaccination for high-risk health workers
Risk communication, community engagement and cross-border surveillance are also going on in many districts. It is the first time the vaccine has been offered before an Ebola outbreak even starts.
The runway at the Cheddi Jagan International Airport (CJIA) has been opened for limited use, allowing flights scheduled for departure this morning to leave.
Amid an investigation into what caused a brand-new 737 Max jet to crash in Indonesia, another jet produced by US aerospace and defense company Boeing crash landed in Guyana.
"Canadian consular officials are in contact with local authorities and stand ready to provide consular assistance to Canadian citizens if needed".
Fly Jamaica said in a statement: "We can confirm that flight OJ256 bound for Toronto has returned to Georgetown with a technical problem and has suffered an accident on landing".
Boeing said it was looking into the incident.
In July 2011, a Boeing 737-800 aircraft belonging to Trinidad-based Caribbean Airlines crashed at Cheddi Jagan after landing too far down the runway and running out of braking space, injuring several people. The runway then was 7,400 feet (2,255 meters) but is now being extended to 10,000 feet.