Speculation about the ITV show's future arose after creator Julian Fellowes said that he is unsure whether there will be a sixth series.
In a statement, Neame said: "I can confirm that there are no plans to end the show after the fifth series. ITV commission each series on a year-by-year basis.
"In an interview given to the Wall Street Journal, Julian Fellowes stated that the show would not go on forever (inevitable of course and something both he and I have been on the record for previously).
"For now ITV have commissioned series five and that is what we are busy preparing."
Downton Abbey achieved record high ratings in the Us with its series four opener on Sunday (January 5), averaging 10.2 million.
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