This　paper　is　concerned　with　the　pullback　dynamics　and　asymptotic　stability　for　a　3D　Brinkman-Forchheimer　equation　with　infinite　delay.　The　well-posedness　of　weak　solution　to　the　3D　Brinkman-Forchheimer　flow　with　infinite　delay　is　investigated　in　the　weighted　space　C-K(H)　firstly,　then　the　pullback　attractors　are　presented　for　the　process　of　weak　solution.　Moreover,　the　existence　of　global　attractor　and　the　exponential　stability　analysis　of　stationary　solutions　are　shown,　which　is　based　on　the　estimate　of　corresponding　steady　state　equation.