The　BiFeO3/YBCO　heterostructures　were　fabricated　on　(001)-oriented　SrTiO3　substrates　by　pulsed　laser　deposition.　The　superconducting　transition　temperature　of　YBCO　was　found　to　decline　with　increasing　the　c-axis　parameter.　The　microstructure　and　dislocations　in　BiFeO3/YBCO　heterostructure　were　detected　by　transmission　electron　microscopy　(TEM)　proving　the　epitaxial　growth　of　BiFeO3/YBCO　heterostructures　on　SrTiO3.　The　edge　dislocation　with　a　Burgers　vector　[100]　was　observed　in　BiFeO3,　which　contributed　to　the　relaxation　of　BiFeO3.　The　results　of　magnetization　hysteresis　cycles　indicated　that　the　saturation　magnetization　increased　from　14　emu/cm(3)　of　BiFeO3/SrTiO3　to　42　emu/cm(3)　of　BiFeO3/YBCO/SrTiO3.　The　second　phase　Fe2O3　on　the　surface　of　BiFeO3　was　found　to　be　alpha-Fe2O3　with　weak　magnetization　at　room　temperature.　Therefore,　the　increased　magnetization　could　be　accounted　for　by　the　induced　ferromagnetism　at　the　interface　of　BiFeO3/YBCO.