A contractive \(d\)-tuple of operators \((T_1,\ldots, T_d)\), that is, \(T_1T_1^*+\cdots T_dT_d^*\leq 1\), is \(q\)-commuting, where \(q=\{q_{ij}\}_{1\leq i<j\leq d}\) is a family of complex numbers, if \(T_jT_i= q_{ij}T_iT_j\) for all \(1\leq i<j\leq d\). The main results of this paper refer to a model for \(q\)-commuting contractions. A sample result is: every \(q\)-commuting contractive tuple is, up to unitary equivalence, a compression of a certain special \(q\)-commuting contractive tuple to a suitable subspace.