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The electromagnetic wave tunneling phenomenon in a sandwich structure consisting of an epsilon-negative (ENG),mu-negative (MNG) medium and epsilon-negative (ENG) medium is investigated theoretically.Merging of resonance tunneling modes is demonstrated when the conjugate matched trilayer condition is satisfied.The resonance frequency is found to be independent of the thickness ratio of the matched trilayer structure.The only influence is to cause the resonant peak to be much narrower when the thickness ratio increases.The dependence of resonance tunneling on incident angle and polarization is examined.The possible influence on resonance tunneling due to the losses from the single-negative (SNG) materials is also investigated.