The statistics of quasienergies are analyzed for periodically driven chaotic systems and found to be similar to those of truly random models. These differ from the results that were obtained so far, for chaotic systems with time-independent Hamiltonians. The separations of the quasienergies and the Δ3-statistic are calculated numerically for chaotic, as well as for truly random models. Local statistical measures are introduced in order to investigate the repulsion of quasienergies. The results provide further evidence for Anderson localization in chaotic systems with Hamiltonians that are periodic in time.