Plans for the £500m mixed development include offices, new BBC studio space, leisure facilities, a hotel and 1,000 new homes.
Television Centre will be opened up to the public for the first time, and the famous forecourt remodelled for retail, leisure and entertainment uses.
The BBC will continue to have a significant presence at Television Centre: BBC Studios and Post Production will return in 2015 to operate three new studios to serve television production in the South East.
The much-loved listed buildings at Television Centre will be retained.
Stanhope and the BBC hope to have made significant progress on planning by the end of 2013 in order to have vacant possession and start building work in 2015.
David Camp, chief executive of Stanhope Plc, said: “A good deal of public consultation has also taken place and, we believe that this application will enable TV Centre to be rejuvenated to be the key hub within the White City area.
“Most importantly, for the first time in 50 years, the site will be opened up creating routes through the site and bringing new public life and spaces with a vibrant and exciting mix of retail, leisure, office and residential use.
“With the BBC’s on-going presence on the site including key operation BBC studios, we believe that Television Centre will be a great place to live, work and visit.”