Lawrence Jacobs, the previous general counsel, stepped down in June after 15 years.
News Corp. has been embroiled in a phone-hacking scandal after revelations that its now-defunct British tabloid, News of the World, had eavesdropped on the cellphone voice mail messages of celebrities, politicians and crime victims to get stories.
Zweifach, 58, is a partner at law firm Williams & Connolly LLP. He will also become a senior executive vice president when he starts his new job on Feb. 1. News Corp. says his practice has covered significant media and First Amendment cases along with antitrust and securities matters.