The Battle of Bunker Hill was fought in 1775 during the Siege of Boston in the first stage of the American Revolutionary War. The battle is named after Bunker Hill in Charlestown.
The British wanted to capture Bunker Hill because they were trying to keep control of the city and control its valuable seaport. The British decided to gain two hills, Bunker Hill and Breed's Hill, in order to have an advantage. The American forces heard about it and went to defend the hills.
Therefore, the reason is simply for control over their territory and its valuables.
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