PURPOSE: To obtain the subject superconductive material having a high critical temperature and a high critical current density by preparing a powdery oxide raw material containing Tl, Pb, V, Ca, Ba and Cu in a specified atomic ratio and sintering the resultant powdery raw material in an oxygen gas while controlling temperature and time.

CONSTITUTION: A powdery oxide raw material containing Tl, Pb, V, Ca, Ba and Cu in an atomic ratio represented by formula I (0<α≤1.3; 0≤β≤0.1; 0≤γ≤0.1; 0≤θ≤1; 0≤≤1; 0≤κ≤1) in prepared. The resultant powdery raw material is then placed in an oxygen gas and sintered at 850-880°C for 6-100hrs. By the above-mentioned method, the objective oxide superconductive material having a composition represented by formula II (0.4≤p<1; 0≤q≤0.6; 2≤r≤4; 1≤s≤3; 3≤t≤5; 8≤u≤22; 0≤v≤0.1) is obtained. The obtained superconductive material has a high critical temperature of about 120K and is suitably used for a superconductive cable, etc.