This　paper　investigates　hazardous　material　transportation　problem　involving　the　lane　reservation　strategy.　The　strategy　of　reserving　the　lanes　on　some　road　segments　for　hazardous　material　transportation　can　reduce　the　transportation　risk,　but　it　will　also　affect　the　normal　traffic.　The　considered　problem　is　to　choose　lanes　to　be　reserved　on　the　network　and　select　the　path　for　each　hazardous　material　shipment,　with　the　aim　of　both　minimizing　the　transportation　risk　and　minimizing　the　impact　of　reserved　lanes　on　normal　traffic.　A　bi-objective　model　is　developed　for　the　considered　problem,　and　then　an　improved　\varepsilon-constraint　method　is　proposed　for　obtaining　all　Pareto　optimal　solutions.　The　performance　of　the　proposed　algorithm　is　evaluated　by　randomly　generated　instances.　Computational　results　demonstrate　that　for　the　considered　problems,　the　improved　\varepsilon-constraint　method　can　solve　all　Pareto　optimal　solutions　within　a　reasonable　time.　©　2019　IEEE.