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We provide generalized entanglement constraints in multi-qubit systems interms of Tsallis entropy. Using quantum Tsallis entropy of order $q$, we firstprovide a generalized monogamy inequality of multi-qubit entanglement for $q=2$or $3$. This generalization encapsulates multi-qubit CKW-type inequality as aspecial case. We further provide a generalized polygamy inequality ofmulti-qubit entanglement in terms of Tsallis-$q$ entropy for $1 \leq q \leq2$or $3 \leq q \leq 4$, which also contains the multi-qubit polygamy inequalityas a special case.

Generalized entanglement constraints in multi-qubit systems in terms of Tsallis entropy