In the former report, we theoretically studied the correlation coefficient in the long term distribution between various wave induced stress such as wave induced vertical bending stress, horizontal bending stress, warping stress and axial stress on the container ship. We made clear that the correlation coefficient in the long term distribution between these stresses could be estimated from the phase difference with the other wave induced stress when the response amplitude function of the dominant wave induced stress become the largest value. These results are effective for the correlation coefficient between load to act on normal/axial direction of ship hull cross section. However, these results still stand examination whether we can directly apply the result for the case of the correlation between the axial load and lateral load such as bottom structure and side longitudinal beams. In this report, we investigated the bottom shell plate stress and examined the correlation coefficient in the long term distribution between axial stress induced by the ship hull bending and plate bending stress by wave induced pressure. (1) Stress on the bottom shell that are combined the axial stress induced by the ship hull bending and plate bending stress by wave induced pressure is not linear superposition of both stress because axial stress gives influence to bending stress. (2) However the correlation coefficient of long term distribution considered with non-linear structural influence between axial stress and bending stress almost equal to the value calculated from liner superposition of both stresses. So that, the correlation coefficient in the long term distribution between these stresses could be estimated from the phase difference with the other wave induced stress when the response amplitude function of the dominant wave induced stress become the largest value.