Police believe the bodies found on Tuesday morning in Brasso Pedro Estate No 2, Momoral are those of Gladys Otez and Hoseau Vasquez Marcano of Margarita, Venezuela.
The identities are presumed based on footage seen from cameras at the Piarco International Airport.
Police believe the couple came to Trinidad on Sunday evening from Venezuela.
According to reports, the victims were found with gunshot wounds around 7:50 by an employee at the estate. The body of the woman was reportedly found in some bushes and investigators believe she may have been attempting to escape her killers.
Investigations are continuing.