AbstractWe explore the existence of monogamy relations in terms of Rényi-&agr; entanglement. By using the power of the Rényi-&agr; entanglement, we establish a class of tight monogamy relations of multiqubit entanglement with larger lower bounds than the existing monogamy relations for &agr; ≥ 2, the power &eegr; > 1, and 2>&agr;≥7−12, the power &eegr; > 2, respectively.