Recently, the use of corrugated fiberboard as a packaging structural materials has been increased, and it has been required to have high-precision and high-strength as industrial materials. Corrugated fiberboard is composed of the paper board (corrugated fiberboard stencil) of top liner, bottom liner and medium. It is well-known that the paper board expands and shrinks easily, because the shape change as the moist-expansivity, shrinkage of fibers occurs through the temperature and humidity change. The Young's modulus and expansivity of paper board depend upon the papermaking machine direction (MD), because fibers of the paper board manufactured by a paper-making machine arrange to the paper-making direction. Furthermore the direction was arranged fibers (a fiber orientation) does not always match the paper-making machine direction. In this study, A nonlinear and continuous mechanical model developed for superplastic materials was proposed to analyze the tensile and the bending properties of fiberboard before/after the temperature and humidity cycling. For the warping deformation problem of corrugated fiberboard, a prediction equation of warping deformation was derived from the Lamination theory, and the mechanism of the warping deformations were investigated. Following results are obtained : (1) The nonlinear and continuous mechanical model can be applied to the analysis of the tensile and the bending properties of fiberboard. (2) For SCM, the creep rate in the fiber direction (MD) decreases about 4% by temperature and humidity cycling. (3) Spring backs of fiberboard increase by the temperature and humidity cycling, and increasing rate by the humidity cycling is greater than by the temperature cycling. And further, increasing rate of CD is greater than MD. (4) Generation limits of spring back of KL and SCM are set within the limits of a finite band by the temperature and humidity cycling. (5) There is little change in the residual stress distributions of the sheet for KL, but residual stress for SCM increases by temperature and humidity cycling. (6) Relation between the warping and the parameter influenced the warping has been elucidated by the simplified prediction equation, and prediction of the warping deformation are possible by them. (7) The twisting warping are closely connected with difference of the fiber orientation angle between top liner and bottom liner, and they increase with fiber orientation angle. (8) The bending warping and twisting warping increase as the anisotropy ratio of Young's modulus and the anisotropy ratio of the expansivity, and the increase ratio of bending warping along with the machine direction (MD) is larger than it along with the cross direction (CD).