Craig Lee Huneke (born August 27, 1951) is an American mathematician specializing in commutative algebra.

Huneke graduated from Oberlin College with a bachelor's degree in 1973 and in 1978 earned a Ph.D. from the Yale University under Nathan Jacobson and David Eisenbud (Determinantal ideal and questions related to factoriality).

From 1994 to 1995 he was a visiting professor at the University of Michigan and in 1999 was at the Max Planck Institute for Mathematics in Bonn (as a Fulbright Scholar).

With Melvin Hochster and others, he developed the theory of tight closure, a device in ring theory that is used to study rings containing a field of characteristic p in which Frobenius endomorphism figures prominently.

He was an invited speaker at the International Congress of Mathematicians in 1990 in Kyoto (Absolute Integral Closure and Big Cohen-Macaulay Algebras).