Li2MoO4　center　dot　1.8Tb(2)(MoO4)(3)　crystal,　a　kind　of　solid　solution　crystal,　was　grown　in　air　by　the　top　seeded　solvent　growth　method　in　a　Li2Mo2O7　flux.　The　lattice　parameters　of　the　crystal　were　determined　by　X-ray　diffraction　analysis.　The　absorption　coefficient　of　the　crystal　was　investigated　at　wavelengths　from　400　to　1500　nm　at　room　temperature.　Valence　states　of　Tb　ions　in　Li2MoO4　center　dot　1.8Tb(2)(MoO4)(3)　crystal　were　analyzed　by　X-ray　photoelectron　spectroscopy　measurement.　Verdet　constants　for　the　Li2MoO4　center　dot　1.8Tb(2)(MoO4)(3)　crystal　at　532,　633　and　1064　nm　wavelengths　were　measured　by　the　extinction　method.　They　are　-341,　-239　and　-75　rad　m(-1)　T-1,　respectively.　The　results　show　that　the　crystal　has　a　larger　magneto-optical　figure　of　merit　than　terbium　gallium　garnet　at　wavelength　of　633　nm.