A technique has been developed for measuring the temperature dependence of elastic moduli of metals and alloys using electromagnetic excitation of acoustic resonance in small spheres polished optically smooth. A frequency swept marginal oscillator is used to generate and detect resonances without physical contact to the sample. Values ofCijare reproducible with accuracies of ∼1/104. Variations of ∼1/106are detected using an oscillator mode which is phase locked to sample resonance. Measurements ofC44and (1/2)(C11−C12), from 300 to 4.2 K, on a 4.7‐mm‐diam. tungsten sphere are given to illustrate the technique.