The controversial miniseries, which stars Greg Kinnear and Katie Holmes, was originally developed by History. However, the network announced last month that it had decided not to broadcast the drama.
The Hollywood Reporter has now said that the ReelzChannel, which is available in 60m US homes, will air the series in April.
ReelzChannel CEO Stan Hubbard refused to reveal how much he had paid for the drama but said that he hopes the controversy surrounding the series will make viewers tune in.
"We think it will drive ratings and put a spotlight on this network that has never been on it before," he said. "We're going to do a full-blown marketing campaign.
"One of the benefits of being an independent network is that you can be an independent voice and you don't have to worry about corporate pressure or political pressure. This is a project that deserves to be seen."
In a statement, the drama's production companies Muse and Asylum said: "The producers of The Kennedys welcome the news that American audiences will have the opportunity to view our highly anticipated series starting April 3."
The companies also dismissed claims that the show is historically inaccurate or unfair towards the Kennedy family, saying: "We accurately and authentically recreated each of the events that occurred. Anyone who watches the show will agree that the Kennedy family emerges from our treatment as a legendary American family, who made an enormous contribution to the world and to their country, but were beset by epic tragedies."