The　objective　of　this　paper　is　to　study　the　asymptotic　behavior　of　solutions,　in　terms　of　the　upper　semi-continuous　property　of　random　attractor,　of　the　Cahn-Hilliard-Navier-Stokes　system　with　small　additive　noise.　We　prove　the　existence　of　a　random　attractor　for　the　Cahn-Hilliard-Navier-Stokes　system　with　small　additive　noise.　Furthermore,　we　consider　the　stability　of　global　attractor　and　prove　the　random　attractor　of　the　Cahn-Hilliard-Navier-Stokes　system　with　small　additive　noise　will　convergent　to　the　global　attractor　of　the　unperturbed　Cahn-Hilliard-Navier-Stokes　system　when　the　parameter　of　the　perturbation　epsilon　tends　to　zero.