In　this　paper,　we　study　the　asymptotic　behavior　of　the　non-autonomous　stochastic　3D　Brinkman-Forchheimer　equations　on　unbounded　domains.　We　first　define　a　continuous　non-autonomous　cocycle　for　the　stochastic　equations,　and　then　prove　that　the　existence　of　tempered　random　attractors　by　Ball＇s　idea　of　energy　equations.　Furthermore,　we　obtain　that　the　tempered　random　attractors　are　periodic　when　the　deterministic　non-autonomous　external　term　is　periodic　in　time.