A Green's function technique is developed to study the real and imaginary parts of the dielectric functionfor antiferroelectric thin films below and above c T . We calculate the two-particle Green's function k k-ÒÒ beyond the random phase approximation taking into account the coupling between the transverse and the longitudinal relaxing mode. The dependence on temperature and film thickness is discussed and compared with the experimental data. Due to stronger damping effects in thin films the peak of the dielectric function becomes broader with decreasing film thickness. The temperature, where the dielectric function offers a maximum, can decrease or increase in dependence on the strength of the exchange interaction parameter.