A superfine multi-core Nb3Al superconductive wire is produced by getting a Nb3Al superconductive wire ready which was obtained by subjecting a precursor wire having a superfine multi-core structure in which a plurality of Nb/Al complex cores are embedded in Nb, Ta, a Nb based dilute alloy, or a Ta based dilute alloy as the matrix to a rapid heating and quenching treatment comprising rapidly heating to a temperature range near 2,000° C. in 2 seconds, (A) coating the Nb3Al superconductive wire with Cu or Ag as the stabilizing material; then (B) subjecting to a hot isostatic press (HIP) process for 10 minutes or more in a inert gas environment with a pressure of 40 atmospheres or more; and then (C) subjecting heat treatment for 1–200 hours in temperature range of 680–850° C., to thereby obtain a method for producing Nb3Al superconductive wire and the Nb3Al superconductive wire obtained from said method in which: the cost is comparatively low; the wire may be produced to be either round or flat; and the superconductive characteristics is more stabilized.