Abstract: A seismic design approach is presented where the design procedure attempts to create R.C. buildings with a specified limited objective under a specified level of seismic intensity. The limited objective may be directly defined by limiting damage state of the weakness storey. The famous Park-Ang damage model, constant ductility inelastic response spectra and the conventional seismic design method are combined to determine families of structures whose initial strength and stiffness characteristics will ensure that the desired limited damage performance objective for each seismic level is, as closely as possible, achieved. Furthermore, the applicability of using the parameter for storey response of multiple degree-of-freedom structures is analyzed, and the corresponding equation is established. Finally, a design example shows that the design approach is feasible and accurate.