Let \(G\) be a finite group. By definition, \(\pi_ e(G)\) is the set of all orders of the elements in \(G\). In the paper under review the Suzuki groups \(Sz(2^{2n+1})\) are characterized by their sets of orders. Theorem 2. \(G\) is isomorphic to \(Sz(2^{2n+1})\) for some \(n\geq 1\) if and only if \(\pi_ e(G)\) consists of 2, 4, all factors of \((2^{2n+1}-1)\), \((2^{2n+1}-2^{n+1}+1)\), and \((2^{2n+1}+2^{n+1}+1)\). Clearly, in such a group the centralizer of each involution is a 2-group, therefore the author applies the Suzuki classification of CIT-groups.