The　actual　arrival　time　directly　affects　the　travel　experience,　and　thus　influences　travelers＇　route　choice　decisions.　In　a　network　with　travel　time　uncertainty,　the　arrival　time　is　also　uncertain.　In　such　a　case,　taking　the　preferred　arrival　time　as　the　watershed　point,　we　defined　several　possible　segments　for　the　arrival　time,　and　then　in　the　framework　of　the　cumulative　prospect　theory,　a　new　function　of　arrival　time　perceived　value　is　established.　On　this　basis,　we　assume　that　the　cumulative　perceived　value　is　a　synthetic　outcome　in　terms　of　the　travel　gain,　the　travel　disutility　and　the　arrival　time　perceived　value,　and　then　build　a　static　network　equilibrium　model　based　on　the　cumulative　perceived　value.　Furthermore,　the　existence　and　uniqueness　of　the　equilibrium　solution　are　examined,　and　the　solving　algorithm　is　also　designed.　Finally,　the　two　numerical　examples　are　conducted　to　analyze　the　effect　of　model　parameters　on　the　equilibrium　solutions.　©,　2015,　Systems　Engineering　Society　of　China.　All　right　reserved.