The　traditional　traffic　equilibrium　problems　is　to　find　a　set　of　path　flow　to　meet　certain　demand　constraints.　In　order　to　prove　the　existence,　uniqueness　and　convergence　of　solutions,　the　problem　can　be　transformed　as　a　nonlinear　program　problem,　a　non-linear　problem,　a　variational　inequality　problem,　or　the　fixed　point　problem.　In　this　paper,　we　discusses　the　problem　of　traffic　equilibrium,　which　the　cost　of　path　is　not　the　simple　sum　of　the　cost　of　links.　A　variational　inequality　model　is　established　to　characterize　the　solutions　of　traffic　equilibrium　problems,　and　then　the　solution　of　traffic　assignment　problem　can　be　got　by　so　solving　the　variational　inequality.　©　2011　IEEE.