A trapped field magnet formed of a high temperature type II superconductor material is disclosed. The trapped field magnet is formed of a plurality of relatively small, single-grain superconductive elements. Optimal shaped of these elements is in a regular truncated cone wherein the half cone angle is 55.degree., and the optimal orientation of each single-grain superconducting elements is an angle of .phi..sub.m with respect to the axis perpendicular to the upper and lower surface of the element, wherein the .phi..sub.m =3 sin .theta. cos .theta./(3 cos.sup.2 .theta.-1) and .theta. determines the location of the element.