Entanglement monogamy is an important physical property of quantum entanglement, which means that quantum entanglement cannot be distributed freely, that is, the entanglement size of one quantum systemwith another quantum system will limit the entanglement size of this system with other quantum systems. By means of numerical analysis, the monogamy relation of squared Rényi entropy entanglement is investigated. The function relation between the squared Rényi entropy entanglement and the squared concurrence, and the monogamy relation of squared concurrence are used to prove the new monogamy relation of squared Rényi entropy entanglement. Results show that the proposed monogamy relation of squared Rényi entropy entanglement is more applicable than that of Rényi entropy entanglement in reference[4], and more rigorous than that of the squared Rényi entropy entanglement in reference[10].