A finite element model of the toroida field (TF) coil and gravity support system is established at first by taking its cyclic symmetry condition into account. The first ten order natural frequencies and their corresponding modal vectors of the system are calculated then by using the ANSYS software. Based on these modal information and the spectrum analysis method, the displacement response distribution of the TF system is obtained finally by using the standard seismic spectrum given in ITER EDA report. Furthermore, the feasibility of the numerical model is validated by comparing its results with those of a simplified model of single degree of freedom.