In a metal sheath MgB.sub.2 superconducting wire, it is intended to
achieve a wire having increased current density and a long length at the
same time, by densitying superconducting core part. The superconducting
wire is manufactured by forming diffusion hardened layer on the inner
surface of the sheath such that the hardness of the inner surface becomes
higher than that of the outer surface, filling MgB.sub.2 superconductor,
and further if necessary, a critical current density increasing material
such as indium, copper, and tin, in a metal sheath, to subject it to wire
drawing. For the metal sheath, a material with toughness such as steel is
used. Even if the sheath is made to a long wire, it does not break,
thereby, enabling to density superconducting core part.