In this study, a detailed simulation of texture development in wire drawing with special emphasis on the texture variations along the wire radius has been carried out, using the deformation history obtained by finite element method (FEM). Firstly, a wire drawing process of low-carbon steel was simulated using the FEM, in which a texture-based plastic potential in strain rate space was employed to account for the plastic anisotropy associated with the initial texture of the material. The deformation history predicted by the FEM calculations was then fed to the polycrystal plasticity Taylor model to simulate the textures at different radial locations of the wire. The simulation results showed an ordinary <110>-fiber texture at the wire center and mixed {110}<110> and {112}<110> cyclic fiber textures at the subsurface of the wire, indicating obvious radial texture gradient. The simulated textures are in good agreement with the characteristics of the experimental results. A close relation between the formation of the cyclic textures and shear deformation was identified by comparison of the plastic deformation and the textures along the wire radius.