This article tackles the element of conventional and regulatory admissibility of "no pending international lawsuit."Due to a basic, descriptive and deductive research we obtain the results of this analysis, which allows us to answer the question "What should be understood by pending international lawsuit?" plus it allows us to understand the general goal of identifying the arguments of the Committee when a State proposes inadmissibility of communication due to the existence of a pending lawsuit.As a result, we understood that international pending lawsuit exists when there is an identity between the parties, the facts, and the rights of two international complaints and that they be in process at the same time before courts with an equivalent nature.