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Superconductive films of YbBa2Cu3O7 have been epitaxially grown on SrTiO3 substrate by a novel liquid-gas-solidification process. A layer of metallic YbBa2Cu3 melt was coated on the substrate and in situ oxidized. The oxide films grown on the SrTiO3 (100) substrate are epitaxially oriented in structure with the c axis normal to the plane film. Values of T c (R =0) of 82 K with a transition width of 1 K have been achieved. The critical current density J c is typically 105 A/cm2 at 50 K and 104 A/cm2 at 77 K.