Based　on　finite　element　theory,　the　base-isolated　and　fixed　solid　models　of　masonry　structure　with　concrete　frame　at　lower　two　stories　were　established　by　SAP2000　nonlinear　software.　Then,　seismic　response　analysis　under　the　real　rerecorded　earthquake　excitation　in　three　directions　(two　horizontal　and　one　vertical)　was　investigated　by　nonlinear　time　history　analysis　method.　The　results　show　that　the　horizontal　seismic　responses　of　the　base-isolated　masonry　structure　with　concrete　frames　at　lower　two　stories　are　remarkably　less　than　those　of　the　non-isolated　structure,　especially　in　the　transition　story　with　abrupt　change　of　stiffness.　However,　the　vertical　seismic　responses　of　the　base-isolated　structure　may　increase,　which　will　endanger　the　security　of　the　base-isolated　structure.