We　study　the　joint　effects　of　the　electron-phonon　interaction　(EPI)　and　intralead　electron　interaction　(IEI)　on　the　density　of　states　(DOS)　of　a　single-molecular　quantum　dot　weakly　coupled　to　Luttinger　liquid　leads　in　the　Rondo　regime　by　using　the　extended　non-equilibrium　Green＇s　function　method.　The　introduction　of　the　EPI　yields　satellite　peaks　around　the　Rondo　peak.　With　the　increase　of　the　IEI,　all　the　peak　heights　reduce　and　then　turn　to　dips.　The　full　crossover　in　the　DOS　from　the　phonon-assisted　one-channel　physics　to　two-channel　physics　is　exhibited.　The　inelastic　tunneling　will　dominate　electron　transport　for　a　certain　region　of　interaction　strength.　(C)　2013　Elsevier　Ltd.　All　rights　reserved.