Strange particle production in 158 and 40 A GeV/c Pb-Pb and p-Be collisions NA57 is an SPS experiment designed to study the energy and centrality dependence of hyperon production in proton-nucleus and nucleus-nucleus collisions. In this contribution, I report on the study of strangeness enhancements as a function of collision centrality, both for 158 and 40 A GeV/c beam momentum collisions.