Creator and executive producer Neil Jordan said he recently decided not to proceed with a fourth season.
"I never thought I would make a cable series and have enjoyed every minute of it," said Jordan in a statement.
"For a variety of reasons we won't be doing a fourth season, but 'The Prince' (the final episode), when I wrote and shot it, did feel like an end of a journey for the family.
"Whatever bonded them as a family dies in this episode, and the center of the drama for me was always the family."
The show, which stars Jeremy Irons and shows Pope Alexander VI as a cunning and manipulative patriarch who builds a dynasty through corruption, was shot entirely on location in Budapest.
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