The Bethe-ansatz equations describing the thermodynamics of the non-degenerate Anderson model are derived in theU→∞ limit (double occupation of the localized level is excluded). The set of Bethe-ansatz equations for theU→∞ limit is considerably different from the one for the finiteU case. The Kondo limit, the Fermi liquid behavior at lowT and the highT perturbation expansion for the thermodynamic potential are extracted from these equations.