In comparison with the rolling texture modeling based on the Sachs, Taylor and modified Taylor assumptions a modified Sachs model was proposed, in which the equilibrium of both stresses and strains among the deformed grains is considered and therefore the shear strains are partially constrained by activation of other slip systems besides the primary one. The modeling predicts more details of the rolling texture that observed frequently in rolling aluminum sheets, and the model calculation could include the influence of initial texture. The parameters for homogeneous rolling are reported and the shear texture formation is also discussed.