Abstract: In the process of transmission and interaction with substance, the vector light field with spatiotemporal evolution of light field state is different from the traditional polarized light. It has the unique vectorization characteristics. The regulate and control characteristics of crystal tellurium dioxide (TeO₂) for radial polarized vector light field was utilized to study. According to the measurement of Stokes parameters, the evolution laws of polarization state of three crystal samples were analyzed, and the optical rotation characteristics of TeO₂ crystal were revealed. It showed that the polarization regulate and control effect could be considered as same as double λ/2 wave plate. The research results are helpful to understand the transmission characteristics of vector light field in birefringent crystals, which can promote the crystal device design and application in connection with vector light field.