Global　warming　has　become　a　growing　concern　over　decades,　prompting　numerous　research　endeavours　to　reduce　the　carbon　dioxide　(CO2)　emission,　the　major　greenhouse　gas　(GHG).　However,　the　contribution　of　other　non-CO2　GHGs　including　methane　(CH4),　nitrous　oxide　(N2O),　fluorocarbons,　perfluorinated　gases,　etc.　should　not　be　overlooked,　due　to　their　high　global　warming　potential　and　environmental　hazards.　In　order　to　reduce　the　emission　of　non-CO2　GHGs,　advanced　separation　technologies　with　high　efficiency　and　low　energy　consumption　such　as　adsorptive　separation　or　membrane　separation　are　highly　desirable.　Advanced　porous　materials　(APMs)　including　metal-organic　frameworks　(MOFs),　covalent　organic　frameworks　(COFs),　hydrogen-bonded　organic　frameworks　(HOFs),　porous　organic　polymers　(POPs),　etc.　have　been　developed　to　boost　the　adsorptive　and　membrane　separation,　due　to　their　tunable　pore　structure　and　surface　functionality.　This　review　summarizes　the　progress　of　APM　adsorbents　and　membranes　for　non-CO2　GHG　separation.　The　material　design　and　fabrication　strategies,　along　with　the　molecular-level　separation　mechanisms　are　discussed.　Besides,　the　state-of-the-art　separation　performance　and　challenges　of　various　APM　materials　towards　each　type　of　non-CO2　GHG　are　analyzed,　offering　insightful　guidance　for　future　research.　Moreover,　practical　industrial　challenges　and　opportunities　from　the　aspect　of　engineering　are　also　discussed,　to　facilitate　the　industrial　implementation　of　APMs　for　non-CO2　GHG　separation.　©　2024　The　Royal　Society　of　Chemistry.