Stephen Parkinson (1 August 1823 – 2 January 1889) was a British mathematician.
Born in Keighley, West Yorkshire, Parkinson went up to St John's College, Cambridge, as a sizar in 1841 and graduated as Senior Wrangler in 1845, beating William Thomson (later to become Lord Kelvin).
He was elected to a Fellowship at St John's in the same year.
He was ordained in 1851, made BD in 1855 and DD in 1869.He was College lecturer in mathematics, tutor and President (1865-89).
He was made a Fellow of the Royal Society in 1870.
Parkinson was the author of two mathematical textbooks, Elementary Treatise on Mechanics (1855) and A Treatise on Optics (1859).