We present results of a first application of linear response formalism to calculate the spin and orbital magnetic susceptibility of a disordered alloy system using the Korringa-Kohn-Rostoker-Coherent Potential Approximation (KKR-CPA). To account for all relativistic effects in a proper way, the formalism was used in its fully relativistic version (RKKR-CPA). Results obtained for the alloy system Ag x Pt 1 - x are presented and compared with experimental data.