The　objection　of　this　paper　is　to　study　the　asymptotical　behavior　of　solutions　for　the　three　dimensional　planetary　geostrophic　equations　of　large-scale　ocean　circulation　with　small　additive　noise.　In　this　paper,　we　prove　the　existence　of　random　attractors　for　the　three　dimensional　planetary　geostrophic　equations　of　large-scale　ocean　circulation　with　small　additive　noise.　Furthermore,　we　prove　the　random　attractor　A(epsilon)　=　{A(epsilon)　(omega)　:　omega　is　an　element　of　Theta}　of　the　three　dimensional　planetary　geostrophic　equations　of　large-scale　ocean　circulation　with　small　additive　noise　will　be　close　to　the　global　attractor　A　of　the　three　dimensional　planetary　geostrophic　equations　of　large-scale　ocean　circulation　for　any　omega　is　an　element　of　Theta　when　the　parameter　of　the　perturbation　epsilon　goes　to　zero.