The electronic structure and magnetism of Cr/Sn and Fe/Cr/Sn/Cr multilayer systems with monolayer Sn are studied by means of a first-principles method. The calculated hyperfine field at Sn site is significantly large (∼20 T) in Cr/Sn multilayers, while the value is remarkably diminished (∼4 T) in the case of Fe/Cr/Sn/Cr multilayers. This trend of the hyperfine field is consistent with recently ... [Show full abstract] reported experimental results. It is found that the hyperfine field at Sn site is determined by the spin magnetic moment at the interface Cr site. The most important feature in the electronic structure of the multilayer systems is the existence of an interface state at the Cr interface layer near the Fermi energy region.