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The rolled piece is assumed to be an ideal isotropic material in the traditional cold-rolled strip theory, and the yield stress in the RD-TD plane is often used for rolling calculation, while the anisotropy of the strip is rarely considered. For this reason, the yield behavior of pure titanium strips was studied based on uniaxial tensile test and crystal viscoplastic self-consistent model (VPSC), and the yield trajectory with RD tensile yield stress as reference was constructed using equal plastic work and yield criterion. The influence of the yield stress difference in each direction on the characteristics of rolling deformation zone was investigated through the cold rolling process simulation. The research results show that the yield stress of the basal bimodal textured pure titanium strip is the largest in ND, the second in TD, and the smallest in RD, and the anisotropy of the yield stress leads to a large error between the traditional theoretical results and the actual results. For the convenience of application, the Fleck rolling model in the traditional cold-rolled strip theory was modified based on the Hill48 anisotropic yield stress with the RD tensile yield stress as a reference, and the calculated values were in good agreement with the theoretical values.