The show's creator, Julian Fellowes, sparked rumours he will be walking away from the popular series after confirming plans to write a new U.S drama called The Gilded Cage.
Online gossip suggested the show would subsequently come to an end after its fifth season, but Neame has now spoken out to insist Downton Abbey is not finishing any time soon.
He said: "I can confirm there are no plans to end the show after the fifth series.
"ITV commission the show on a year-by-year basis. For now, ITV have commissioned series five and that is what we are busy preparing."
The fourth series of Downton Abbey is currently airing to record-breaking ratings in the U.S.