Sergei B. Kuksin, Armen Shirikyan On random attractors for mixing-type systems (145K, Postscript) ABSTRACT. The paper deals with infinite-dimensional random dynamical systems. Under the condition that a system in question is of mixing type and possesses a random compact attracting set, we show that the support of the unique invariant measure is a minimal random point attractor. The results obtained apply to the randomly forced 2D Navier--Stokes system.