Why was the battle of bunker hill not considered a great victory for the british?

The Battle of Bunker Hill was fought on June 17, 1775, during the Siege of Boston in the early stages of the American Revolutionary War. The battle is named after Bunker Hill in Charlestown, Massachusetts, which was peripherally involved in the battle. It was the original objective of both the colonial and British troops, though the majority of combat took place on the adjacent Breed's Hill. here's your answer

It was not considered a great victory of the British because the British suffered more casualities  

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