An increase in the cooling rate of a melt of PE and PP leads to a substantial drop in the T//g, degree of crystallinity, inductive capacity and in the tangent of the angle of dielectric losses at low frequencies. The non-equilibrated structure of PE and PP films prepared by quenching the melt at 77 degree K, is transferred to an equilibrium state after heating up to room temperature. This transition is accompanied by an increase in the tangent of the angle of dielectric loss as T//g decreases due to a relaxation of internal stresses and an increase in the degree of crystallinity.