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