The change occurring in the heat-engineering characteristics of a cruciform fuel element in a SM reactor as a result of the change in the characteristic dimensions of the fuel element, such as the diameter of the circumscribing circle, the indentation radius, and the rounding radius of a lobe, and as a result of the presence of a central displacer in the element is examined. The optimal values of the indentation radius and rounding radius of a lobe are determined to be 0.5 mm. It is shown that the presence of a central displacer in a fuel element substantially decreases the maximum temperature of the kernel and decreases the coefficient of nonuniformity of the heat flux density. For the same maximum kernel temperature in a standard fuel element and a fuel element with a displacer, the maximum heat flux density in the latter element gives an additional margin up to the crisis of heat transfer.To achieve fast-neutron flux densities above 2·10 15 sec -1 ·cm -2 in high-flux reactors and booster converters, it is necessary to develop fuel elements which can operate at high temperatures and under large heat loads. At present, the most promising fuel element is the SM reactor fuel element, which has proven itself with heat flux density (average over the perimeter) 15 MW/m 2 , maximum fuel kernel temperature 500-550°C, and burnup up to 60% [1].The purpose of the present work is to search for ways to upgrade the standard fuel element of a SM reactor to improve the admissable heat flux density while maintaining or decreasing the maximum temperature of the fuel composition.A cruciform fuel element is characterized by the diameter of the circumscribing circle (d cd ), the indentation radius (r ind ), and the rounding radius of a lobe (r L ) (Fig.