Burham is a village and civil parish in the Tonbridge and Malling district of Kent, England. According to the 2001 census it had a population of 1,251. The village is near the Medway towns.The history of Burham can be traced to Roman times. AD43 saw the Battle of the Medway at the crossing point on the River Medway, where Burham is now, when the invading Roman legions, advancing west across Kent, were confronted by a massed army of the ancient British tribes.