We　theoretically　investigate　the　density　of　states　(DOS)　of　a　quantum　dot　weakly　coupled　to　Luttinger　liquid　(LL)　leads　in　the　Kondo　regime　by　use　of　the　equation-of-motion　technique　of　the　nonequilibrium　Green　functions.　At　zero　temperature,　the　Kondo　peak　in　DOS　is　suppressed　by　the　intralead　interaction.　When　the　LL　interaction　parameter　K　is　about　0.77,　a　moderately　strong　interaction,　the　Kondo　peak　disappears　and　then　a　dip　develops,　a　signature　of　the　intermediate　two-channel　Kondo　(2CK)　physics.　This　shows　that　the　condition　for　the　2CK　to　occur　ever　addressed　is　not　necessary.　Applying　a　finite　voltage　bias　splits　the　dip　in　the　DOS.　Each　split　dip　is　located　at　the　chemical　potential　of　a　LL　lead.　This　again　appears　the　stabilized　2CK　physics　for　moderately　strong　interaction　K　＜　1.　(c)　2013　Elsevier　B.V.　All　rights　reserved.