The magnetism of Cr layers on V(001) is determined by using a tight-binding Hubbard Hamiltonian in the unrestricted Hartree-Fock approximation. In all cases we obtain an antiferromagnetic (AF) coupling between Cr and nearest neighbors V with an important increase of the Cr magnetic moment at the interface as compared to its bulk value, and the magnetic moment on the V atoms decreases when the number of Cr layers increases. We find that the hybridization of the V and Cr d-bands plays an important role in determining the magnetism of the Cr/V(001) system.