The influence of the Stark effect on multiphoton ionization of Ba atoms under conditions when the dynamic polarizability depends strongly on the frequency of the laser radiation is investigated. It is found that for some electric field strengths e of the laser radiation this effect gives rise to resonance peaks in the Ba+ ion yield as a function of the laser radiation frequency at frequencies corresponding to single-photon transitions between the excited states. These frequencies can differ substantially from the frequencies corresponding to the conventional multiphoton excitation of these states from the ground states of the atoms. Peaks in the ion yield as a function of e behave differently from the conventional Stark effect—their position on the frequency scale does not depend strongly on e. The conditions under which such an induced resonance structure appears are determined.