The box foundation composed of the uniting outer continuous underground wall, internal piles or lattice continuous underground wall has excellent earthquake resistance from the viewpoint of stability. Because the behavior during earthquake of the box foundation is complicated, the characteristic has not been clarified enough. Moreover, the evaluation method has not been necessarily established. In this study, the characteristics of this foundation during an earthquake were clarified by verification experiments. Moreover, this paper proposes a practical and reasonable dynamic aseismic design method. It is based on the lumped mass model. It models friction springs and passive resistance springs between the soil and foundation reasonably. Results of simulation analyses, it was confirmed that the proposal method provides a more efficient aseismic design.