This　paper　presents　a　globalized　robust　optimization　approach　for　a　network　design　problem　explicit　incorporating　traffic　dynamics　and　demand　uncertainty.　In　particular,　a　non-holding　back　cell　transmission　model　(CTM)　based　network　design　problem　of　linear　programming　type　is　considered　to　describe　dynamic　traffic　flows,　and　the　normal　range　of　the　uncertain　demand　is　assumed　to　be　a　box　set,　i.e.,　the　uncertain　demand　outside　box　set　is　allowed.　The　major　contribution　of　this　paper　is　to　formulate　such　a　globalized　robust　network　design　problem　as　a　tractable　linear　programming　model　and　demonstrate　the　model　robustness　and　flexibility　by　comparing　its　solution　performance　with　the　robust　solution　from　the　usual　robust　model　and　the　adjustable　robust　solution　from　the　adjustable　robust　model,　respectively.　A　numerical　experiment　is　conducted　to　demonstrate　that　the　modeling　advantage　of　the　globalized　robust　optimization　in　terms　of　solution　quality.　The　proposed　globalized　robust　optimization　approach　may　provide　useful　insights　and　have　broader　applicability　in　traffic　management　and　traffic　planning　problems　under　uncertainty.