Seismic metamaterials, emerging as promising solutions for controlling and manipulating seismic waves in structures, form the focal point of our investigation. This work centers on the band gap analysis of seismic metamaterials, with the primary goal of understanding seismic wave behavior within specific frequency ranges. Employing the finite element method, we conducted a comprehensive analysis of band gaps in seismic metamaterials, coupled with frequency response analysis to assess the wave attenuation performance of these materials. The computational model provides insights into the intricate mechanisms influencing seismic wave propagation within metamaterial structures. The significance of our findings lies in their potential applications as seismic shields, offering protective measures for structures against the impact of seismic waves. This research contributes to the expanding knowledge base in seismic metamaterials and introduces avenues for further research and development, particularly in mitigating the effects of earthquakes across diverse practical applications.