This　chapter　presents　a　user　equilibrium　model　under　tradable　credit　and　link　capacity　constraints　(UE-CC)　that　explicitly　considers　the　characteristics　of　congested　roads　in　urban　traffic　network.　This　model　hypothesizes　that　for　each　origin-destination　(OD)　pair　no　traveler　can　reduce　his/her　generalized　travel　cost　by　unilaterally　changing　paths.　To　obtain　the　total　amount　of　credits,　credit　charges　on　each　link　and　credit　cost,　this　chapter　extends　the　UE-CC　model　to　a　Pareto-improving　user　equilibrium　model　under　tradable　credit　and　link　capacity　constraints　(PUE-CC).　This　new　model　uses　minimization　of　system　optimal　travel　time　as　the　objective　function　and　uses　the　nonlinear　complementarity　functions　of　route　travel　time,　route　credit　cost　and　route　congested　delay　as　the　constraints.　A　relaxation　algorithm　is　developed　to　solve　the　PUE-CC　model.　Numerical　examples　illustrate　the　essential　ideas　of　the　PUE-CC　model　and　the　applicability　of　the　designed　solution　algorithm.　©　Springer　Nature　Singapore　Pte　Ltd.　2019.