Carlson will host "Tucker Carlson Tonight" from Washington, D.C. in the time slot previously occupied by "The Kelly File" beginning Jan. 9, according to a Fox News release.
21st Century Fox CEO Rupert Murdoch praised Carlson's "spirited interviews and consistently strong performance" in the release.
"We look forward to him being a part of Fox News’ powerful primetime line-up," Murdoch said.
Kelly, who is currently the second most-watched cable news host on television, announced her move to a new position at NBC News in a statement released Tuesday.
The New York Times, citing unnamed people briefed on the negotiations, reported that Kelly's deal at NBC included a daytime program, a Sunday evening news show and regular participation in major event and political coverage.