Let G be a finite group and nse(G) be the set of the number of elements with the same order in G. In this article, we prove that the large Ree groups 2F4(q) with an odd order component prime are uniquely determined by nse(2F4(q)) and their order. As an immediate consequence, we verify Thompson’s problem (1987) for the large Ree groups 2F4(q) with an odd order component prime.