We have studied the Freedericksz transition of polymer dispersed antiferroelectric liquid crystals (PDAFLCs) utilizing Landau-Ginzburg (LG) equation. Low frequency in-phase mode and high frequency anti-phase mode in the region of Freedericksz transition influenced by the polymer cross link chain strength has been discussed. Dielectric characteristics have been investigated in detail both in in-phase and anti-phase motions in the region of the Freedericksz transition in PDAFLCs. We theoretically noticed the modulation of the dielectric functions in the region of Freedericksz transition depending on the variation of polymer cross link chain strength due to the introduction of polymer molecules in AFLCs.