Functionalized metal organic framework F-IRMOF-3 having quaternary ammonium group was prepared by a fast precipitation and solvothermal method. They showed good catalytic performance for the cycloaddition of allyl glycidyl ether (AGE) and carbon dioxide without any solvent. F-IRMOF-3 with a larger alkyl chain structure and more nucleophilic anion exhibited better reactivity for the cycloaddition reaction. The introduction of a defective ZnO to F-IRMOF-3 by the fast precipitation method becomes more advantageous than the conventional solvothermal method for the cycloaddition reaction due to acid-base bifunctional active sites. The F-IRMOF-3 can be easily recovered and reused without any considerable loss of initial activity.