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Monogamy and polygamy of quantum correlations are the fundamental propertiesof quantum systems. We study the monogamy and polygamy relations satisfied byany quantum correlations in multipartite quantum systems. General monogamyrelations are presented for the $\alpha$th $(0\leq\alpha \leq\gamma$,$\gamma\geq2)$ power of quantum correlation, and general polygamy relations aregiven for the $\beta$th $(\beta\geq \delta$, $0\leq\delta\leq1)$ power ofquantum correlation. We show that these newly derived monogamy and polygamyinequalities are tighter than the existing ones. By applying these results tospecific quantum correlations such as concurrence and the square of convex-roofextended negativity of assistance (SCRENoA), the corresponding new classes ofmonogamy and polygamy relations are obtained, which include the existing onesas special cases. Detailed examples are given to illustrate the advantages ofour results.

General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems