Behavior of steel structure buildings which were damaged on the beams near by the beam-to-column connections during Hyogo-ken Nambu Earthquake are estimated analytically. The analysis is executed using frame models considered dynamic soil-structure interaction. The input ground motion is estimated from the record observed at the JMA Kobe station and the local topography near the buildings. The conclusions are as follows. 1)The energy input of the earthquake is extreme large. The maximum input energy VE is approximately 440 cm/sec, where VE indicates the equivalent velocity of the total energy input. 2)The maximum interstory drift is approximately 1/50. 3)The strain energy concentrates to a few stories which were damaged during the earthquake. 4)The cumulative inelastic deformation ratios of the damaged beams are relatively large than that of no-damaged beams.