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Abstract: A Cu metal‐organic framework (MOF), [Cu4(PMTD)2(H2O)3]⋅20 H2O, 1, (where PMTD is 1,4‐phenylenebis(5‐methyl‐4H‐1,2,4‐triazole‐3,4‐diyl)bis(5‐carboxylato‐3,1‐phenylene)bis(hydroperoxymethanide)), with a rare chiral Oh‐type cage, and dual functionalities of open metal sites and Lewis basic sites, based on a designed U‐shaped ligand, was synthesized by hydrothermal methods. It exhibits high CO2, C2, and C3 hydrocarbon storage capacity under atmospheric pressure, as well as high H2 (1.96 wt.%) adsorption capacity at 77 K. Methane purification capacity was tested and verified step by step. Isosteric heats (Qst) studies reveal that CH4 has the weakest van der Waals host–guest interactions among the seven gases at 298 K. Ideal adsorbed solution theory (IAST) calculation reveals that compound 1 is more selective toward CO2, C2H6, and C3H8 over CH4 in further calculating its separation capacity, as exemplified for CO2/CH4 (50:50, 5:95), C2H6/CH4 (50:50, 5:95), or C3H8/CH4 (50:50, 5:95) binary gas mixtures. Breakthrough experiments show that 1 has a significantly higher adsorption capacity for CO2, C2H6, and C3H8 than CH4. The selective adsorption properties of 1 make it a promising candidate for methane purification. [ABSTRACT FROM AUTHOR]