Abstract: U.S. NRC SRP 3.7.1 requires that the time history for the SCCs seismic design of nuclear power plants should envelop both the design response spectra and the target power spectral density (PSD) function compatible with the design response spectra. According to SRP 3.7.1(2014), the method of developing the target PSD compatible with the design response spectra and the corresponding computer program was presented in this paper. The results of the computer program were verified by some examples. The results show that the calculated target PSD compatible with RG1.60, CEUS and WUS rock sites response spectra were consistent with the corresponding results provided in SRP 3.7.1, and the spectrum from the artificial time history which developed by the target PSD and the superposition method of trigonometric series adequately matched the design response spectra. The generation of target PSD in this paper can provide technical basis for the PSD check on the time history for the SSCs seismic design of nuclear power plants, and when the target PSD were developed using the method described in this paper, the PSD check should be set at 70 percent of the target PSD.