John Hudson (1773 – 31 October 1843) was an English mathematician and clergyman.
He attended Heversham School and entered Trinity College, Cambridge in 1793.
He became senior wrangler in 1797, also winning the Smith's prize in that year, and obtained his MA in 1800.
At Cambridge, Hudson also tutored Charles James Blomfield who became a prominent bishop.
Hudson died at Haverbrack, Tuesday, 31 October 1843 at the age of 71 and was buried in the interior of the parish church at Kendal.