An inventive method is presented for a sliding pendulum seismic isolation system that reduces seismic forces on the supported structure and reduces the costs of the isolation bearings, seismic gaps, and supported structural frame. The inventive method is to configure the isolation system to achieve increased effective friction with increased displacement amplitudes, and to employ specific bearing configurations that suit the different types and magnitudes of loads present at particular structure support locations. Three bearing configurations are presented which are comprised of multiple sliders that slide along different concave spherical surfaces, each constituting an independent sliding pendulum mechanism having a specified pendulum length and friction. Two bearing configurations are presented which are comprised of multiple sliders that slide along different concave or convex cylindrical surfaces, one configured to carry both compression and tension loads, and one configured to be cost-effective for carrying light compression loads and accommodating large displacements.