Time-Space consistency (TSC) is a crucial and fundamental problem in service-oriented distributed simulation application (SODSA), but current researches have been inclined to consider the concepts of special time and space and have been unable to achieve the global TSC in whole modeling and simulation. By analyzing requirements of generalized TSC and its inconsistent factors, the study presents the global axis of TSC. The notion generalized time-space hierarchical consistency is proposed, consisting of formal definition, of the consistency-resource-model-service-perceive model (C-RMSP), consistency-time-space maturity (C-TSM), and consistencyhierarchical framework (C-HF). The research achievements in this paper reinforce the understanding of global time-space demands of consistency and support global quantitative evaluation on TSC of distributed simulation applications in the future, which are beneficial to resolving inconsistent issues in the whole simulation system.