The effect of size and temperature on the quasiparticle density of state in small superconductorsty have been calculated by using the functional integral method. The influence of small particles embeded in oxidic layer of tunnelling junction on the Jose-phson current have also been investigated. An anomaly exhibits in the supercurrent. In addition, the quasiparticle currents of the junction have been calculated, the results obtained are consistent with the experiments.