The Waking the Dead spinoff starred Tara Fitzgerald as Dr Eve Lockhart and Keith Allen as her ally DI Craig Hale.
The first series ran from September 13 to October 18 last year, but no further episodes will be produced, according to the Radio Times.
While the series premiere attracted an audience of 6.3m, viewing figures had dropped to 4.3m by the sixth and final episode.
Parent series Waking the Dead - starring Trevor Eve and Sue Johnston - drew to a close in April 2011 after nine series.
At the time, Johnston, who played Dr Grace Foley, said that she felt "robbed" by the BBC's decision.
"I'm very sad about it," she admitted in March. "It was a lovely job. The show gets great audiences, it's sold all over the world and I don't quite get why it's going."
The Body Farm was made by BBC Drama Production in association with Eve's company, Projector Productions.
Watch Tara Fitzgerald and Keith Allen discuss The Body Farm with Digital Spy below: