The move to "The Place", on the south bank of the River Thames, would see all of the Australian-born tycoon's British media interests including The Times and Sun newspapers housed together for the first time.
The Dow Jones financial newswire and publisher HarperCollins will also be based at the site from mid-2014.
News Corp chief executive Robert Thomson said the new base would allow Murdoch's British brands to "work more closely and creatively, and leverage our collective resources".
Murdoch's British newspapers are currently based in Tower Hamlets, east London, while HarperCollins have an office in Hammersmith in the west.
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Dow Jones currently has an office in the central Holborn area and another in the City financial district.
Last month, Murdoch changed the name of his British newspaper wing from News International to News UK in a bid to help the brand recover from the 2011 phone-hacking scandal.
He was forced to shut down his News of the World tabloid over revelations that its staff illegally hacked into the voicemail messages of a murdered schoolgirl and hundreds of public figures.
Murdoch himself was on Tuesday recalled to testify in front of British lawmakers after a tape recording emerged of the 82-year-old tycoon slamming the police investigation into alleged phone hacking and bribery by his journalists.