The second development of the finite element simulation software was carried out. The correctness of the UMAT subroutine was verified by comparing the ODFs obtained through EBSD technology and the simulated ODFs of hot compression specimen. The spinning model of TB6 titanium alloy cylindrical parts was established, and the evolution of spinning texture was simulated numerically to study the evolution law of spinning texture under different spinning process parameters. The results show that the thinning rate and spinning temperature greatly influenced the evolution of texture, and the maximum intensity of texture increased with the increase of thinning rate and spinning temperature. Increasing the thinning rate facilitated to the generation and enhancement of R-Cube RD {012}<100> and R-Cube ND {001}<110> texture components. Increasing spinning temperature promoted the transition from Goss {110}<001> texture components to R-Goss ND {110}<110> texture components, while increasing roller feed rate inhibited this trend.