A new method for the construction of tridirectional uniform hazard- response spectra and ground motions for a given site is proposed. The rupture directivity of near-site earthquakes is considered. This method uses historical records without scaling from a region close to the site and a simulation method recently developed for nonstationary random processes using the Hilbert-Huang Transform. The simulation method can reproduce the ground-motion intensity and spectral content variation with time and is thus suitable for near-fault ground motions with long- period pulses. An example is given of a site at Los Angeles city hall. The results are compared with those of existing methods such as the U.S. Geological Survey National Seismic Hazard Mapping Project and sac Steel Project (formed by Structural Engineers Association of California [seaoc], Applied Technology Council [atc], and Consortium of Universities for Research in Earthquake Engineering [curee]). The advantages and limitations of the proposed method are also discussed.