Procurement will begin next month for the station fit out with the job due for completion in December 2018.
Work on the station box was completed by Berkeley Homes in March and the house builder is funding the remaining works with the Royal Borough of Greenwich and TfL.
The Mayor of London, Boris Johnson, said: “I am thrilled that this deal has been signed and that local people can look forward to being able to take advantage of a world class twelve train an hour service, which will provide rapid links directly to Canary Wharf, the City and West End.
“It is a massive win for Woolwich and offers enormous potential for local regeneration.”
John Anderson, Executive Director of Berkeley Homes, said: “We have always been wholly committed to a Crossrail station within our flagship Royal Arsenal Riverside development and this is a vital step forward in the Crossrail project”
An OJEU notice will be published shortly and an invitation to tender is expected to be issued in late 2013 with work starting in late 2014 ready for the station to be operational at the end of 2018.