Themetric characterization of α-well-posedness of systems of generalized variational-hemivariational inequalities is studied.Firstly, the α-approximation sequence is defined, and the sets Ωα(ε)and Ψα(ε)are constructed.Under appropriate assumptions, the equivalence and closure of the two sets are proven.Secondly, the metric characterizations of the system of generalized variational-hemivariational inequalities are discussed under very mild assumptions on involved operators.Sufficient and necessary conditions for the α-strong well-posedness and generalized α-strong well-posedness of the system of generalized variational-hemivariational inequality are obtained.The results further generalize the relevant theorems on the wellposedness of variational-hemivariational inequalities and lay the foundation for further research in this field.