The one million square foot building will house all Google’s UK staff, with relocations from offices in Victoria and Holborn.
If approved, work will start early in 2014, with completion scheduled for late 2016.
Some 35,000 people are expected to work in the wider development of King’s Cross once regeneration is complete.
Designers say the building pays homage to the industrial history of the local area, including steel columns, pre-cast concrete panels and low-iron glass.
Bolder colours will be introduced through painted steelwork taking inspiration from metalwork at St Pancras International, they added.
Dan Cobley, Google UK’s managing director, said: “Building our new headquarters in King’s Cross is good for Google and good for London.
“We’re committed to the UK and to playing a role in the regeneration of this historic area.”
The building has been designed by architects Allford Hall Monaghan Morris.
Director Simon Allford said: “The architectural approach, which has taken inspiration from King’s Cross and St Pancras International railway stations, complements the local area’s strong industrial heritage and will be a building London can be proud of.”