We have investigated the superconducting phase difference dependence of Andreev levels and Josephson current through a mesoscopic normal-metal layer in contact with two superconducting electrodes with s-wave and d-wave pairing symmetry (S s NS d junction͒. It is shown that, regardless of the junction length, due to the sign change of the d-wave order parameter under suitable arrangements, the zero-energy point of Andreev levels for the negative process appears at ϭ0. In particular, at zero temperature, the amplitude of the total Josephson current through the point contact S s NS d junction could be enhanced by the sign change of the d-wave order parameter. However, for an S s NS d junction of special length, the amplitude of Josephson current may be suppressed by this sign change. Moreover, as a special case, the midgap surface states discovered by Hu ͓Phys. Rev. Lett. 72, 1526 ͑1994͔͒ are recovered naturally. ͓S0163-1829͑96͒06933-0͔