Coudray-Greaves, who formerly taught language at Cornwall College, went missing on the night of June 1st 2012.
Her burnt remains were found in a cane field on the outskirts of Montego Bay.
Police say the body was so badly burnt that it took DNA evidence and her dental records to confirm her identity.
Taylor, who operated on-and-off as an on-call taxi driver for Coudray-Greaves, was arrested and charged for her murder on June 30, 2012.
In passing sentence Wednesday the Judge said Michelle trusted you, nothing could be worst, nothing could erase what you did.
There would be no consideration for parole until after 39 years.
Local Government Minister, Marlene Coudray said, she is relieved that Justice was done and thanked the Jamaica government that within two years the trial was finished.