At present, the seismic safety analysis of nuclear power structures only use some simple numerical models recommended by various specifications, or the basic finite element model with viscous-elastic boundary, and there is no relatively high precision analysis method. A high precision multi-transmission formula model with artificial boundary on the basis of the implicit-explicit coupling integral method is introduced in this paper, and a directly numerical algorithm scheme on the framework of ANSYS is proposed, which particularly is applicable for the dynamic interaction analysis of complex factory building structures of nuclear engineering. And then, the validation and applicability of this new method is verified using a practical example. Numerical results proof that the proposed model is applicable for the finite element analysis of the dynamic response of nuclear power plant buildings