This　article　is　concerned　with　the　asymptotical　behavior　of　solutions　for　the　three-dimensional　damped　Navier-Stokes　equations　with　additive　noise.　Due　to　the　shortage　of　the　existence　proof　of　the　existence　of　random　absorbing　sets　in　a　more　regular　phase　space,　we　cannot　obtain　some　kind　of　compactness　of　the　cocycle　associated　with　the　three-dimensional　damped　Navier-Stokes　equations　with　additive　noise　by　the　Sobolev　compactness　embedding　theorem.　In　this　paper,　we　prove　the　existence　of　a　random　attractor　for　the　three-dimensional　damped　Navier-Stokes　equations　with　additive　noise　by　verifying　the　pullback　flattening　property.