Two senior executives of's global media empire quit, as the phone-hacking scandal brings its first resignation in the US.
Mr Hinton was chief executive of Dow Jones, publisher of the Wall Street Journal. Mr Murdoch said the resignation brought him "much sadness".
Rebekah Brooks - chief executive of the media group's UK newspaper arm, News International - also quit on Friday.
Mr Hinton led News International from 1995-2007, when the UK's News of the World was hacking phones.
Mr Murdoch apologised for "serious wrongdoings" by the News of the World, in full-page advertisements signed by him, in Britain's main national newspapers on Saturday.