Summary: In this paper, we study the \(*\)-filters of ordered \((*,\Gamma\))-semigroups in detail. To begin with, we introduce the concept of \(*\)-filters of an ordered \((*,\Gamma)\)-semigroup, and investigate some related properties. Furthermore, we construct a complete semilattice congruence \(\mathcal{N}\) on an ordered \((*,\Gamma)\)-semigroup \(M\) in terms of the principal \(*\)-filter and give some characterizations of intra-regular ordered \((*,\Gamma)\)-semigroups. Finally, we obtain some properties of the complete semilattice congruence classes of an ordered \((*,\Gamma)\)-semigroup \(M\). In addition, for any \(a\in M\), the relationship between the congruence class \((a)_{\mathcal{N}}\) and the principal \(*\)-filter \(N(a)\) generated by a is also established.