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In the paper is analyzed the influence of Josephson's junctions array on the transport current and magnetic properties of the high temperature ceramical, granular superconductors. It has been considered the influence of vortices penetrating the Junctions on the macroscopic current flowing through the sample. For the case of absence transport current the existence of vortices modifies magnetic field dependence of the screening currents and then such magnetic properties, as the shape of magnetization curves, while when the transport current is flowing the existence of vortices may lead to new critical state approach and in the consequence to the anomalies of current‐voltage characteristics. Comparison of the model with experimental data and possible application of phenomenon as high Tc superconducting sensor is also briefly reviewed.