The development of displacement-based approaches to assessment and design has created the need for reliable displacement response spectra for a wide range of response periods and damping ratios. The displacement spectra obtained from conversion of the acceleration spectra in most codes are unrealistic in both shape and amplitude. Recent work has led to the development of simple procedures to construct displacement response spectra for specific design earthquake scenarios. In this paper, such an approach is developed for the construction of compatible acceleration and displacement response spectra for inclusion in seismic design codes, on the basis of three ground-motion parameters for which hazard maps can be easily developed. The results reflect the influence of magnitude, distance and site classification on both the amplitude and shape of the spectra.