The project, near Cambridge, which was one of the joint winners of the Landmark East design competition, has won a £250,000 grant from the East of England Development Agency.
The cash will allow the designers, who are working with Alan Baxter Associates, to draw up further feasibility studies for the site.
According to the practice, the bridge design - for a 54m span of the A14 trunk road - is inspired by the 'wide skies, reeds and water that define the regional landscape'.
The Bridge of Reeds project is led by a partnership comprising the National Trust, Greater Cambridge Partnership and Marshall of Cambridge.
The National Trust's Philip Broadbent-Yale said he was delighted with the cash.
'It gives us a fantastic start and will help us lay the foundations for the delivery of the project. As a team we are committed to pursuing what we consider to be an exciting vision that could deliver something of real benefit to residents and visitors alike.
'With substantial growth planned for the Cambridge area over the next 10 years, it is important to preserve our green spaces and natural habitats - Landscape East could play a key role in this.'