for a proper smooth variety over a perfect field of characteristic p, crystalline cohomology is a good integral model for rigid cohomology and crystalline chern classes are integral classes which are rationally compatible with the rigid ones. the overconvergent de rham-witt complex introduced by davis, langer and zink provides an integral p-adic cohomology theory for smooth varieties designed to be compatible with rigid cohomology in the quasi-projective case. the goal of this talk is to describe the construction of integral chern classes for smooth varieties rationally compatible with rigid chern classes using the overconvergent complex.