The synthesis of heterogeneous catalysts with multiple active sites for the synthesis of cyclic carbonate from epoxide and CO2 has long been of great interest. Herein, we synthesized zinc metal-based multi-variate metal organic frameworks (MOFs) by incorporating different functionalized ligands into a single framework. Chemically functionalized 1,4-benzenedicarboxylic acid (BDC) in the forms of 2-aminoterephthalic acid (NH2-BDC) and 2-hydroxyterephthalic acid (OH-BDC) were combined to form different sets of multi-variate MOFs. The heterogeneous multi-variate MOF, denoted as MOF-5-MIX, was found to be catalytically efficient toward the coupling reaction between epoxide and CO2 under moderate reaction conditions, with >99% selectivity toward cyclic carbonates under solvent-free conditions in a gas-liquid-solid reactor. Herein we demonstrated the advantages of functional groups in the multi-variate framework, which could provide efficient synergistic sites in accelerating the epoxide-CO2 cycloaddition reaction. The MOF-5-MIX exhibited higher catalytic activity (ECH conversion: 98%, temperature: 50 °C, time: 6 h) than other prepared catalysts (MOF-5, MOF-5-NH2, MOF-5-OH). MOF-5-MIX is a promising catalyst system which is capable to catalyze the synthesize of cyclic carbonates under high reaction temperatures (120 °C) without the presence of TBAB as well as at the lower reaction temperature (50 °C) in the presence of TBAB. Comparison with recently reported MOF catalysts revealed that MOF-5-MIX had better catalytic potential. In addition, a plausible reaction mechanism for the MOF-5-MIX catalyzed reaction is proposed that is supported by previously reported experimental results.