  In 1983 A. Suslin proved the Quillen-Lichtenbaum conjecture about algebraic
K-theory of algebraically closed fields. The proof was based on a theorem
called the Suslin rigidity theorem. In the present paper we prove the rigidity
theorem for homotopy invariant presheaves with \Omega-transfers, introduced by
I. Panin. This type of presheaves includes the K-functor and algebraic
cobordism of M. Levine and F. Morel. Keywords: rigidity theorem, presheaves
with transfers, cohomology theories. MSC2000: 14F43
