Westminster council has given its approval of Land Security’s Victoria Transport Interchange Scheme (VT12), Property Week has reported.
The development had been reduced after the council rejected a previous proposal (VT11), which included plans to build next to Victoria Station.
By reducing the maximum height of its build from 40-storeys to just 19-storeys, the new site will have less of an impact on the nearby worldwide heritage site.
The plans could yet be hit by a £20 million charge levied by the mayor of London, Boris Johnson, against the wishes of the council.
“Our view is that the Crossrail levy is of negligible planning weight,” Property Week reported planning officer Godfrey Woods as saying. “The £20 million or so that they would seek is simply not there.”
The Canary Wharf Group has contributed £150 million to Crossrail and will construct and design its new station on the Isle of Dogs.
Mr Johnson said the new station would help boost the economy and bring 1.5 million people within 60 minutes of the major business districts and offices in London.