The invention discloses a cold conducting framework which is characterized in that the framework is made from aluminum nitride, is of a circular ring shape and has a concave-convex cross section; the upper part of the inner edge of the circular-ring-shaped framework is a protrusion with the height being D1, the lower part of the inner edge is a groove with the height being D2, the width of the groove and the width of the protrusion are equal, and the difference between D1 and D2 is equal to the thickness of each cold conducting sheet. For a high-temperature superconducting magnet structural member constituted by the cold conducting framework, a superconducting wire rod is wound on the outer side of the circular-ring-shaped framework in the radial direction, and the upper part and the lower part of the superconducting wire cord are clamped by two cold conducting sheets in the axial direction to constitute the modularized high-temperature superconducting magnet structural member. According to the invention, the defects that the traditional cold conducting structure is large in eddy-current loss, poor in magnet thermal stability and high in temperature rising in the magnet working process are overcome, the cold conducting effect of the cold conducting framework disclosed by the invention is better, and the thermal stability of the magnet and the thermal efficiency of a low-temperature cooling system are increased favorably.