  We establish a unified view to the polygamy of multi-party quantum
entanglement in arbitrary dimensions. Using quantum Tsallis-$q$ entropy, we
provide a one-parameter class of polygamy inequalities of multi-party quantum
entanglement. This class of polygamy inequalities reduces to the known polygamy
inequalities based on tangle and entanglement of assistance for a selective
choice of the parameter $q$. We further provide one-parameter generalizations
of various quantum correlations based on Tsallis-$q$ entropy. By investigating
the properties of the generalized quantum correlations, we provide a sufficient
condition, on which the Tsallis-$q$ polygamy inequalities hold in multi-party
quantum systems of arbitrary dimensions.
