A stable porous Ag(I)-MOF with new topology is constructed from AgSbF6 and 3,6-bis[2-(4-oxide-quinoxaline)-yl]-4,5-diaza-3,5-octadiene (L). This compound can be a highly selective porous MOF material to effectively separate benzene from its six-membered cyclic organic analogues such as cyclohexane, cyclohexene and o-, m-, p-xylene under ambient conditions in both vapor and liquid phases.