By using Dirac-Heisenberg-Wigner formalism we study electron-positron pair production for linear,elliptic,nearly circular,and circular polarizations of electric fields with symmetrical frequency chirp,and we obtain momentum spectra and pair yield.The difference of results among polarized fields is obvious for the small chirp.When the chirp parameter in-creases,the momentum spectra tend to exhibit the multiphoton pair generation that is characterized by the multi-concentric ring structure.The increase of the number density is also remarkable compared to the case of asymmetrical frequency chirp.Note that the dynamically assisted Schwinger mechanism plays an important role for the enhanced pair production in the symmetrical frequency chirp.