John Edward Campbell (May 27, 1862, Lisburn, Ireland – October 1, 1924, Oxford, Oxfordshire, England) was a British mathematician, best known for his contribution to the Baker-Campbell-Hausdorff formula.

He studied at Queen's University Belfast, graduating in 1884. He then went to Oxford University, at Hertford College, where he became a Fellow in 1887.

His 1903 book, Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups, popularized the ideas of Sophus Lie among British mathematicians.

He was elected a Fellow of the Royal Society in 1905, and served as President of the London Mathematical Society from 1918 to 1920.