The Fly Jamaica Airways flight OJ 256 crashed at Georgetown Cheddi Jagan with 120 passengers including two infants on board.
None of the injuries are life-threatening.
The Minister of Public Infrastructure David Patterson told reporters during a press conference: "The reports are of back pain and such, no reports of any broken bones."
The flight was departing from Georgetown, Guyana and was meant to land in Toronto, Canada this evening.
The pilot reportedly claimed he started to experience technical issues with the hydraulics and it forced him to turn around to its departure airport, according to Mr Patterson.
While the pilot tried to make the emergency landing he was unable to to get the aircraft to a complete stop before reaching the end of the runway.
The plane crashed into a fence and its front wheel became wedged in a pile of sand that was being used for a runway expansion project.
Among those on board were 35 Guyanese, 82 Canadians, one American citizen, a Trinidadian and one Pakistani.
The crew were made up of six Guyanese and two Jamaicans, according to Mr Patterson.
An investigation into the the crash has been launched.