The new building will be on the same scale as the huge structure of iron and glass designed by Joseph Paxton for the 1851 Great Exhibition in Hyde Park. It was the largest glass structure in the world before it was destroyed by fire in 1936.
It was later relocated to south-east London to the area which became known as Crystal Palace.
More top news
Londoners who have received new electronic gadgets for Christmas are being advised to take simple steps to protect them from thieves.
The Boxing Day sales got off to a flying start with shops reporting a surge in business during the first hour of trading.
Bus strikes are planned for Monday 29 December and Monday 5 January.