In this study, the deformation behaviors of Mg-3Al-1Zn alloy with multi texture components have been investigated using a combined experimental measurement and crystal plasticity modeling. Six types of multi textured samples were successfully prepared by an easily operated processing containing cold rolling, compression loadings, and subsequent annealing. The corresponding processing parameters to control multi texture components were also proposed. The effect of multi texture distribution on macroscopic mechanical response, activation of deformation modes, texture evolution, as well as the 101̅2 and 101̅1 twin fractions were systematically investigated. It’s a challenge work to model several texture components and random textures using EVPSC-TDT model for the first time. The simulation results generally match well with the experimental data. It has been found that the mechanical performance are strongly dependent on the multi texture components distribution and it was revealed by detailing the quantitative contribution of different deformation mechanisms to the plastic deformation. It’s the more disperse (0002) distribution of hard orientations that matters in enhancing the yield strength and ductility of samples with a given fraction of soft orientations. The findings in the present study are crucial for enriching the texture engineering for Mg alloys and could assist in designing better materials in term of mechanical properties and material performance.