The paper is devoted to studying the problem of ergodicity for the
complex Ginzburg--Landau (CGL) equation perturbed by an external
random force. We show that the conditions of a simple general
result established in  are fulfilled for the equation in
question. As a consequence, we prove that the corresponding family
of Markov processes has a unique stationary distribution, which
possesses a mixing property. The result of this paper was announced
in the joint work with Sergei Kuksin .