The Rochester Bridge Trust is an ancient charity which was founded in 1399 to provide crossings of the River Medway in Kent. It owns the two road bridges and a service bridge at Rochester and part of the Esplanade. The bridges and roads are provided free of charge to the public.

The Trust is led by the Court of Wardens and Assistants of Rochester Bridge. There are two Wardens and 11 Assistants. Seven of them are chosen because they have particular skills needed to run the Trust, for example engineers and property specialists. Six are nominated by local authorities in Kent. They are not paid for their work. There is also a small team of staff who run the Trust and help the Court.

The Trust is committed to supporting engineering education and encouraging young people to learn more about civil engineering and bridge building.