We　present　a　scheme　to　realize　joint　remote　state　preparation　(JRSP)　of　an　arbitrary　two-qubit　state　via　a　seven-qubit　Brown　state　which　is　subjected　to　the　noisy　environment.　Two　basic　noise　models,　the　amplitude-damping　noise　and　the　phase-damping　noise,　are　considered.　The　noise　only　affects　the　transmitted　qubits　of　the　quantum　channel　in　our　protocol.　We　put　forward　the　detailed　processes　of　JRSP　protocol　with　these　two　kinds　of　noise.　It　is　found　out　that　the　fidelities　for　both　kinds　of　noise　depend　on　the　decoherence　noisy　rate　and　the　amplitude　factor　of　the　prepared　state.　Interesting,　the　effect　of　phase-damping　noise　is　much　stronger　than　that　of　the　amplitude-damping　noise.　Our　study　will　contribute　to　the　research　on　the　effect　of　quantum　noise　for　JRSP.