Ranking　decision　making　units　(DMUs)　for　performance　evaluation　is　an　important　issue　in　data　envelopment　analysis　(DEA).　This　paper　develops　an　integrated　approach　for　ranking　DMUs　in　DEA　cooperative　game,　where　DMUs　are　evaluated　according　to　their　Shapley　values.　For　this　purpose,　a　new　characteristic　function　with　DMUs　is　firstly　defined;　then,　both　aggressive　and　benevolent　model　formulations,　which　corresponding　to　aggressive　or　benevolent　strategy　in　cooperative　game,　are　utilized　to　obtain　cross-efficiency　scores　of　DMUs.　Subsequently,　the　Shapley　values　are　calculated　in　terms　of　the　cross-efficiency　scores　by　a　simple　formulation.　An　empirical　study　concerning　assessment　of　nine　container　ports　in　China　is　examined　using　the　developed　approach.　Comparisons　and　analyses　with　previous　similar　methods　are　also　discussed.　©　2019,　Bucharest　University　of　Economic　Studies.　All　rights　reserved.