Abstract: Tsallis-q entanglement is a well-known entanglement measures which obeys a tighter monogamy inequality with q∈2, 3. We extend the range of q for analytic formula of Tsallis-q entanglement to q \in(5-\sqrt13) / 2, (5+\sqrt13) / 2 , and prove that it is a tighter monogamy inequality of quantum entanglement in terms of squared Tsallis-q entanglement. It is tighter than existing ones, and the range of q become broader than tighter monogamy inequality using Tsallis-q entanglement.