  Tsallis-$q$ entanglement is a bipartite entanglement measure which is the
generalization of entanglement of formation for $q$ tending to 1. We first
expand the range of $q$ for the analytic formula of Tsallis-\emph{q}
entanglement. For $\frac{5-\sqrt{13}}{2} \leq \emph{q} \leq
\frac{5+\sqrt{13}}{2}$, we prove the monogamy relation in terms of the squared
Tsallis-$q$ entanglement for an arbitrary multi-qubit systems. It is shown that
the multipartite entanglement indicator based on squared Tsallis-$q$
entanglement still works well even when the indicator based on the squared
concurrence loses its efficacy. We also show that the $\mu$-th power of
Tsallis-\emph{q} entanglement satisfies the monogamy or polygamy inequalities
for any three-qubit state.
