Christopher Greenup (1750–April 1818) was an American politician who was Governor of Kentucky from 1804 to 1808.

Greenup was born in Virginia and served in the Revolutionary War, attaining the rank of colonel. He served as a Kentucky representative to Congress for three successive terms from 1791 to 1797 as a Jeffersonian Republican and was later elected governor of Kentucky, serving from 1804 to 1808. Greenup ran unopposed, receiving 25,917 votes.

Greenup died in Frankfort, Kentucky. Greenup County, Kentucky was named in honor of him, as well as its county seat of Greenup, Kentucky. He studied law in Frankfort and practiced there prior to elected service. Greenup also spent time as a surveyor and as a land speculator .