We　study　the　nonequilibrium　transport　through　a　parallel-coupled　double　quantum　dot　coupled　to　Luttinger　liquid　leads　using　the　nonequilibrium　Green＇s　function　method.　A　current　formula　is　derived,　where　the　inter-dot　tunneling,　the　intralead　interaction,　and　asymmetric　dot-lead　coupling　are　taken　into　account.　The　interplay　of　these　interactions　on　the　differential　conductance　is　investigated.　The　differential　conductance　of　the　double-dot　system　exhibits　the　coexistence　of　zero-bias　dip　and　Fano　resonance　for　asymmetric　coupling.　The　zero-bias　dip　of　differential　conductance　scales　onto　a　single　universal　curve　for　different　temperature　with　the　same　scaling　exponent　as　a　system　of　Kondo　dot.　As　temperature　increases,　the　zero-bias　minimum　is　gradually　lifted.　©　2020　Elsevier　B.V.