In this study, shaking table test using 1/3 scale 2-storied wooden frame with 3D-eccentricity was carried out. The purpose of this test is to clarify the influence of the torsional behaviour of a story on that of the other story. Five types of specimen with various arrangements of shear walls in each story were tested. The plan dimension of specimens is 909mm in X direction, 1212mm in Y direction and 910mm in story height. The eccentricity ratio of each story is 0.44 in X direction and 0.0 in Y direction. Torsional behaviour, stress and external force distribution of each story and interaction of multi-story were discussed in elastic and non-elastic range. External force distribution including torsional moment of a story was clearly affected not only by the eccentricity ratio of the story but also by that of the other story. In some cases, an external force was concentrated on the rigid side and torsional moment was generated even in a story without eccentricity. These tendencies are contrary to the theory on torsional vibration of single story, and they are likely to be due to interaction of multi-story. A theoretical solution of interaction of multi-story was applied to the specimens using equivalent linearization technique, and they gave close agreement with experimental results.