Effects of quantum phase fluctuations on the critical temperature T-c of Josephson-coupled layered superconductors are considered. T-c is shown to decrease nonlinearly with increasing charge fluctuations. The results obtained for the critical temperature by applying the self-consistent mean field method reveal no phase transition from superconducting state to normal metal for a finite value of charging energy. The destruction of the long range phase coherence appeared to occur at asymptotically large values of self-capacitance charging. For the weak quantum phase fluctuations limit, T-c is obtained to be vary in the interval of T-c* < T-c < T-c((2)), where T-c((2)) is the critical temperature for a single superconducting layer evaluated by the mean field theory, and T-c* is the temperature when the phase coherence between the nearest neighboring layers is lost Since T-c approaches T-c* with vanishing interlayer tunneling integral J(perpendicular to). Calculation of the dependence of the transverse stiffness on the charging energy is carried out at T=0. The reentrance found can in principle occur at a sufficiently large value of the interlayer tunneling integral J(perpendicular to) > J(perpendicular to) = kT(c)((2)) where J(perpendicular to) approximate to kT(c)((2)) is the value of J(perpendicular to) when the superconductor normal metal phase transition takes place. However, the condition J(perpendicular to) greater than or equal to kT(c)((2)) contradicts to the existence of the Josephson coupling between superconducting layers. (C) 1998 Elsevier Science B.V.