The characteristics of scatting and extinction spectra of gold nanoshell pairs, dependent on the its geometry and physical parameters, are investigated by the Finite Element Method based on the plasmon hybridization theory. The numerical results indicate that the resonante peaks in the scattering spectra and the extinction spectra emerge from blue-shift to red-shift with the increases of the thickness of gold nanoshells, whereas they present the red-shift with the decrease of the interparticle separation or with the increases of the size and the refractive index of inner core of gold nanoshells. In the same time, for the case of decreasing the inner core size and the shell thickness or increasing the refractive index of inner core, the intensity of the scattering resonance and the extinction resonance decrease. And, with the decrease of the interparticle separation, the intensity of the scattering resonance of gold nanoshell pairs trends to first increase and then decrease, while the intensity of the extinction resonance increases gradually. All the above is in agreement with the analysis of the plasmon hybridization theory.