The cyclic deformation behavior of AZ31 magnesium alloy sheet metal have been investigate in order to reveal the general material elasto-plastic behaviors related with its texture, such as Bauschinger effect and flow stress during stress reversal, by finite element analyses. To discuss these phenomena of AZ31 magnesium alloy sheet at the room temperature to 200 degree [Celsius], the crystal plasticity material models, which can take into account the size effect of twined region proposed by Kitayama was introduced into the commercial finite element code. The calculated results by the applied model can describe moderately the corresponding experimental data at the room temperature to 200 degree.