Abstract: This paper provides a brief theory description of the single-point response spectrum method and the multi-point response spectrum method, respectively. Taking the new nuclear fuel elevator as an example, the seismic analysis is carried out by the two methods with the software of ANSYS. The results of the calculation are contrasted. It shows that the result obtained by the single point response spectrum method is too large and that obtained by the multi-point response spectrum method is more reasonable. And some reference can be provided for the seismic analysis of this type of nuclear power equipment.