The practice has been shortlisted to design the new bridge - which will sit alongside Richard Rogers Partnership's Welsh Assembly building - along with three other leading practices.
The other shortlisted candidates are Grimshaw, Yee Associates and Studio Bednarski. The four architects will pitch their proposals to the Welsh Development Agency in a presentation this Thursday.
The winner - whose bridge will span the south lock crossing to the Roath Basin in Cardiff Bay - will be announced soon afterwards.
Gordon Murray said: 'The bridge will sit almost alongside the new Welsh Assembly Building and near the recently completed Millennium Centre, so it will be a significant structure and highly visible, symbolising the redevelopment of the Cardiff Bay Area.'
Alan Dunlop added: 'It has to be immediately recognisable throughout the world- but be specific to the bay and to Wales.'