With　regard　to　a　solution　problem　of　the　interval-valued　multiobjective　cooperative　games　with　payoffs　of　inclusion　and/or　overlap　relations,　the　two-phase　nonlinear　programming　models　and　method　are　proposed.　In　view　of　the　multiobjective　factors　in　the　real　decision　problem,　the　relation　of　interval　ranking　and　the　concept　of　interval-valued　cores　of　interval-valued　multiobjective　cooperative　games　based　on　the　satisfactory　degree　are　defined.　Hereby,　the　multiobjective　two-phase　nonlinear　programming　solution　models　and　corresponding　bisection　steps　are　proposed.　Finally,　the　feasibility　and　applicability　of　the　models　and　method　are　illustrated　by　a　numerical　example.　©　2017,　Editorial　Office　of　Control　and　Decision.　All　right　reserved.