A seismic isolation laminated rubber is one of the effective methods to reduce the behavior of structures in an earthquake. In this paper, a high-rise structure with seismic isolation laminated rubbers is modeled, and the seismic isolation laminated rubber that minimize the behavior of the structure in earthquakes is optimized. The optimization method is Genetic algorithm. Also, the optimum restoring force models of the rubber are investigated by using an earthquake directly above its epicenter and a long period earthquake ground motion. In this result, the optimum restoring force models could be calculated in each earthquakes.