Summary: For a \(C^*\)-algebra generated by a finite family of isometries \(s_j\), \(j=1,\dots,d\), satisfying the \(q_{ij}\)-commutation relations \(s^*_js_j=I\), \(s^*_js_i=q_{ij}s_is^*_j\), \(q_{ij}=\bar{q}_{ji}\), \(\vert q_{ij}\vert <1\), \(1\leq i\not=j\leq d\), we construct an infinite family of unitarily non-equivalent irreducible representations. These representations are deformations of a corresponding class of representations of the Cuntz algebra \(\mathcal{O}_d\).