In　this　study,　a　Boundedly　Rational　Nested　Logit　(BRNL)　model　is　proposed　by　introducing　the　concept　of　indifference　threshold　into　Nested　Logit　(NL)　model.　In　BRNL　model,　the　traveler　is　assumed　to　choose　randomly　or　in　accordance　with　his　preference　if　the　expected　cost　difference　between　two　alternatives　is　within　the　indifference　band.　Otherwise,　the　traveler　will　choose　the　alternative　with　the　minimum　expected　cost.　A　nested　method　of　successive　average　is　developed　to　solve　the　proposed　problem.　Finally,　the　rationality　of　the　model　and　effectiveness　of　the　algorithm　are　proved　by　using　a　numerical　example　with　three-mode　transportation　network.　The　results　indicate　that,　different　from　NL　model,　the　choices　of　the　travelers　in　BRNL　model　do　not　depend　on　the　costs　always.　The　value　of　the　indifference　threshold　will　affect　the　choice　probability.　The　larger　the　indifference　threshold　is,　the　less　sensitive　travelers　are　to　the　change　of　cost.　In　particular,　if　the　indifference　threshold　is　large　enough,　the　travelers＇　choices　will　always　depend　on　the　preference.