A systematic investigation is carried out on the temperature dependence of strength in ternary Ni3Al compounds with additions of transition metal elements. The rate of solid solution hardening per one with the rate of lattice parameter change, da/dc, although a linear correlation has been found for the addition of B-subgroup elements. The rate of change in activation energy to provide the anomalous positive temperature dependence of strength per one atomic percent of the solute, du/dc, is then evaluated. Together with the results for the addition of B-subgroup elements, the apparent valence is assigned for each transition metal element by an analogy utilizing equi-valence contour determined for B-subgroup elements. Then it becomes possible to discuss the relative magnitude of the mechanical anomaly in Ni3Al in terms of the phase stability concept of L12 phase, in which e/a ratio as well as the atomic radius ratio of the compound, RB/RA, as affected by ternary addition is an important parameter to alter the stability of the phase against other geometrically close packed phases. (Received August 9, 1985) Keywords shown that the characteristic mechanical anomaly of the compound is enhanced by such additions as to increase the electron-atom ratio and/or the atomic radius ratio of the compound. Then the rate of change in activation energy for the thermally activated process to provide the mechanical anomaly per one atomic percent of solute, dU/dc, has been evaluated for a variety of ternary alloying elements in relation to the valence difference between a ternary B-subgroup element andshown that the rate of solid solution hardening seems to be proportional to that of change in lattice parameter by additions of the Bsubgroup element, da/dc.In the present investigation, a similar strategy is extended toward evaluating the role of ternary additions of transition elements into the compound in its mechanical properties. Practically information on the effects of ter-