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We investigate experimentally and theoretically high-order above-threshold ionization of N2 and O2 molecules systematically.The resonancelike enhancement is experimentally observed for N2 but is absent for O2 molecules.S-matrix theoretical simulations reproduce the experimental observations very well.Analysis indicates that the resonancelike enhancement can be attributed to the channel-closing effect and the specific molecular structure plays a decisive role for the presence or absence of this enhancement in molecular systems.