A process for producing a superconductiong compound tape or wire material, which comprises irradiating electron beams at an acceleration voltage of 5 to 150 KV on a starting tape or wire material consisting essentially of constituent elements of a superconducting compound, a compound between the constituent elements, an alloy between the constituent elements or a mixture of at least two of said elements, said compound between the constituent elements and said alloy at a power density, determined on the starting tape or wire material, of 1.times.10.sup.3 to 1.times.10.sup.7 w/cm.sup.2 while the starting material is moved at a rate of 1 cm to 10 cm/sec relative to the electron beams.