The application of superconducting material to a magnet requires the winding tape or wire conductor with sufficient flexibility into a solenoid. Tape conductors of Ba2YCu3O7-y were successfully prepared by a new technique of surface reaction. Cu tape or Cu-electroplated Ag tape was coated with a fine mixture of Ba2CO3, and Y2O3 and then heat treated at about 900°C to form Ba2YCu3O7-y oxide layer with high density on both surfaces of the tape. Zero resistance state has been achieved at the temperature above liquid nitrogen temperature for Ag-substrate tape. The critical current density is about 40A/cm at 77K and zero magnetic field. Although, at present, the superconducting properties of these tapes are somewhat inferior to those of conventional powder metallurgy processed conductors, the surface reaction process has the potential feasibility of processing Ba2YCu3O7-y into a long-length ductile tape desirable for practical application.