In the first part of this paper, the applicability of Finite Strip Method for the dynamic response problems of civil engineering structures was studied. From the analytical results on the static plate bending, it was shown that the applicability is good and the method is economical. In the case of dynamic response analysis, it was shown that the modal analysis is applicable. From these results, it was shown that though the Finite Strip Method has some limitations in the application of boundary conditions, it is very useful and economical for some problems. In the second part, the dynamic response analysis of plates under moving load using the Finite Strip Method was studied. In this analysis many interesting results were shown.