The original quantum discord (QD) is shown to be not monogamous except for the three-qubit states. Recently, a complete monogamy relation multiparty system was established entanglement in [Phys. Rev. A. {101}, 032301~(2020)], and addition, new multipartite generalization of QD proposed Lett. {124}, 110401~(2020)]. In this work, we firstly define (MQD) global (GQD). MQD, with same spirit as enta...