Abstract: Three dimensional solid model of reactor coolant pump was established. After the structure of the pump was reasonably simplified, the modal analysis was used to get the natural frequencies and mode shapes. On this basis, the spectrum analysis was used to get the stress and displacement response under three different direction spectra with multi-angles. In addition, static analysis of pump was used to get stress and displacement under different conditions. Finally, the seismic response results and static results were added up under different conditions to compare with ASME standards. The comparing result shows that the values meet ASME standards.