We studied layer selectively the magnetic moments on a Cu/9 Å Co/50 Å Ni/Cu/Si͑001͒ and a Cu/50 Å Ni/Cu/Si͑001͒ structure using polarized neutron reflection. The magnetic moments for the Cu/Co/Ni/Cu structure are 1.70Ϯ0.20 B and 0.57Ϯ0.05 B for the Co and Ni, respectively, and within error the same as the relevant bulk magnetic moments at room temperature. For the Cu/Ni/Cu sample the magnetic moment per Ni atom of 0.53Ϯ0.03 B is only slightly lower than the bulk value. Within error the same magnetic moments are determined for a Cu/22 Å Co/11 Å Cu/53 Å Ni/Cu/Si͑001͒ structure supporting the results on the Cu/Co/Ni/Cu͑001͒ and Cu/Ni/Cu͑001͒ structures. Using the magnetic moments values determined by polarized neutron reflection, we conclude that the uniaxial Co volume anisotropy for the Cu/Co/60 Å Ni/Cu͑001͒ structures can be attributed to the Co shape anisotropy alone.