Based　on　the　classical　nested　Logit　model,　this　paper　develops　the　multi-modal　boundedly　rational　nested　Logit　(BRNL)　model　by　relaxing　the　assumption　of　perfect　rationality　of　travelers　under　satisficing　rule,　which　is　used　to　describe　travelers＇mode　choice　behavior.　Travelers　are　assumed　to　choose　travel　mode　randomly　or　in　accordance　with　the　habit　preference　when　the　cost　difference　between　travel　modes　is　within　the　indifference　band.　On　the　contrary,　travelers　will　choose　the　travel　mode　with　the　least　travel　cost.　In　addition,　a　nested　method　of　successive　average　is　proposed　to　solve　the　model.　Finally,　the　rationality　of　the　model　and　effectiveness　of　the　algorithm　are　proved　by　using　a　numerical　example.　The　results　indicate　that　travelers　don＇t　always　choose　the　travel　mode　with　the　least　travel　cost.　Travelers＇mode　choice　behavior　is　impacted　by　the　rational　degree　and　preference.　Moreover,　the　lower　rational　degree　implies　that　travelers　become　less　sensitive　to　the　cost　difference　between　modes.　Copyright　©　2018　by　Science　Press.