A multilevel multiobjective programming model is constructed and an interactive method for solving this model is proposed in this paper.In this model, multiple objectives are divided into some groups and ordered using preemptive priorities.Along this preemptive order, all groups of objectives are successively optimized in the sense of multiobjective optimizations, i.e., vector maximizations, value maximizations, goal achievements and satisfactions.A set of preferred solutions is reduced to a final one through using the proposed interactive procedure from the highest level to the lowest level in the multilevel model.An application is demonstrated to show the effectiveness of this method.