This paper introduces a new approach to take account of bending history in finite element inverse analysis during sheet dopted for finite element inverse analysis so that bendingunbending energy was additionaly imposed in the total plastic energy, predicting bendingunbending regions using the geometry of the final shape and tools. An algorithm was applied to a cylindrical cup deep drawing process. The blank shape and the distribution of the thickness strain were compared with those obtained from the incremental finite element analysis in order to evaluate the effect of the bending history. The algorithm reduced the diference between the results of the inverse analysis from those of the incremental analysis due to bending history. The analysis was also carried out with e the effect of bending deformation. The results showed that the diference was remarkably reduced as the thickness of the initial blank increased. This indicates that the finite element inverse analysis cooperated with the suggested scheme is useful to obtain more accurate results, especially when bending effects are significant.