Two metal-organic frameworks (MOFs) {(Me2NH2)[ZnLi(PTCA)(H2O)]}n·n{3DMF·C4H8O2·4H2O} (1) and {(Me2NH2)[ZnLi(PTCA)]}n·n{3DMF·5H2O} (2) have been constructed from Li-Zn clusters and pyrene-1,3,6,8-tetracarboxylic acid (H4PTCA) under solvothermal conditions. Gas sorption measurements have revealed that the pore of desolvated 2 (2d) can strongly interact with H2 and CO2, with high H2 and CO2 adsorption heats of 15.3 and 51.9 kJ/mol, respectively. Furthermore, 2d can selectively adsorb CO2 over N2 and CH4, with high adsorption selectivity of CO2/N2 and CO2/CH4.