The group, which also includes Kings Sturge, will redevelop the site of the Newcastle Brown Ale brewery, in a scheme backed by Newcastle University and local regeneration agency One North East.
The team saw off competition from three other bids; Terry Farrell and Partners, Llewlyn Davies Yeang and local firm, the Red Box Design Group.
The 5.8ha project was announced a year ago and it is hoped the development will create more than 15,000 jobs, as researchers and companies come together.
It will aim to exploit opportunities in applied science areas such as stem cells, energy and molecular engineering.
Paul Walker, chairman of Newcastle Science City Partnership, said: 'The proposed appointment of EDAW is an important step forward in our vision for a dynamic and ambitious Newcastle Science City which benefits the whole region.
'We already have cutting-edge science in our region and we are now well on our way to creating the right environment to attract the substantial private sector investment needed to make the project an even greater success.'