The north London-based practice fought off the likes of Alison Brookes Architects, PLUS, Erect Architecture and Kinnear Landscape Architects to secure one of the few Olympic projects open to smaller practices.
The competition was organised by the Olympic Delivery Authority (ODA), and the project - according to the Olympic body - is 'key to regenerating the neglected public spaces around the Olympic Park area'.
Adams and Sutherlands director Elizabeth Adams, said: 'Our team is delighted to win this project. This is an excellent opportunity to be involved in the 2012 Games and to engage with local people in the creation of a meaningful legacy.
'The Greenway is already an extraordinary place and we look forward to strengthening its qualities within a context of great change.'
The practice will start work on the designs immediately, and it is hoped the proposals will be put into place in summer 2008.