Summary: It is shown that the quantum system of \(q\)-deformed oscillators with the \(U_ q(n)\) group symmetry can be obtained by the canonical quantization of a classical system with a modified Poisson bracket. The modification of the Poisson bracket is connected with a noncanonical transformation of phase space variables. In this approach, the deformation parameter turns out to be a function of the Planck constant and some dimensional parameters characterizing the classical system.