The aim of this study is to construct a simplified numerical method that can predict an actual texture development during hot rolling in AZ61 Mg. First, stress-strain and Lankford value-strain relations were experimentally investigated in a hot rolling temperature range (350℃) for AZ61Mg alloy sheets. Next, based on the experimental data, identification of material parameters in a crystal plasticity model was carried out using crystal plasticity finite element analyses. Strain histories for a material point near the surface of an AZ61 sheet were calculated using the Orowan's theory. The texture developments at the material point were computed with a finite element homogenization method. It was confirmed that the present method can reproduce qualitatively the actual texture development of the AZ61Mg sheets.