This　paper　aims　to　investigate　the　nonlinear　dynamic　properties　of　a　two-point　and　symmetrically　supported　pipeline　bracket　system　coated　with　the　damping　element　using　an　elastic-porous　metal　rubber.　The　dynamic　model　of　the　studied　two-point　and　symmetric　pipeline　system　was　established　based　on　impulse　response　matrix　for　accurate　and　reliable　description　on　its　nonlinear　behaviours,　e.g.,　energy　dissipation　and　loss　factor.　The　experimental　verification　of　the　developed　model　was　performed　by　means　of　dynamic　test　as　well　as　the　analyses　of　nonlinear　damping　characteristics.　The　experimental　results　show　a　good　agreement　with　the　prediction　results　obtained　from　the　proposed　dynamic　model.　This　work　provides　an　alternative　method　to　investigate　the　dynamics　of　pipeline　vibration　system　equipped　with　a　damping　structure.