We　study　the　nonequilibrium　transport　through　a　single-level　quantum　dot　weakly　coupled　to　Luttinger　liquid　leads.　A　general　shot　noise　expression　is　derived　by　using　nonequilibrium　Green　function　technique.　We　find　that　the　differential　shot　noise　and　differential　conductance　demonstrate　resonant-like　behavior　as　a　function　of　the　bias　voltage　and　the　quantum　dot＇s　energy　level　for　a　weak　or　moderately　strong　interaction.　In　the　limit　of　strong　electron-electron　interaction,　the　resonant　behavior　disappears　and　shows　bias-voltage-dependent　power　law　scalings.　And　the　Fano　factor　also　scales　as　a　power　law　in　high　bias　voltage　region.　In　addition,　the　Fano　factor　is　enhanced　with　the　electron-electron　interaction　increased.　It　implies　that　the　Fano　factor　can　be　controlled　by　tuning　the　electron-electron　interaction　in　the　leads.　(C)　2009　Elsevier　B.V.　All　rights　reserved.