Offering an honorarium of £4,000 for three shortlisted practices, the two-stage contest is being run by Design Excellence in North Kent (DENK) and is part of a programme to raise design standards in the Thames Gateway.
Architects are invited to come up with a scheme for two 30m-long foot and cycle bridges within the Rochester Riverside development - a major regeneration project on a brownfield site near the river Medway.
Entrants must develop one bridge in detail and produce a 'sketch idea' for the second.
The bridges can be different in design but 'should complement each other- providing a direct, safe and attractive transition'.
Describing the brief, a DENK spokesman said: 'The footbridges will become an integral part of the [development], opening up the river frontage to the public while being sensitive to the historic setting of Rochester old town.'
Entry forms can be obtained from Ruth Gage at the Kent Architecture Centre, Historic Dockyard, Chatham, Kent ME4 4TZ, tel: 01634 814055.
The winning scheme will be announced at a ceremony early next year and will then be recommended to regeneration body Medway Renaissance to take forward.