Polycrystalline FeSr2YCu2O6+y was synthesized and its transport and magnetic properties were studied. Diamagnetism was observed below 60K. Zero resistivity was observed below 38K under zero magnetic field and below 10K under 160kOe. A two-step transition was observed in resistivity measurement due to the superconductivity in individual grains and across inter-grain boundaries. The critical current density in individual grains, Jcintra, at 2K under 1kOe was deduced 3.4×10 5 A/cm 2 from the Bean model. In contrast, the critical current density in inter-grain boundaries, Jcinter, at 2K was 1.7A/cm 2 in voltage–current measurement. The two-step transition seems to result from the large difference between Jcintra and Jcinter.