Abstract Metal organic frameworks (MOFs) are distinctive porous chemical materials comprised of metal ions and organic ligands to illustrate marvelous chemical stability, high surface area, distinctive morphology, and large pore volume. MOFs have great significance due to their versatile utilizations, such as purification and separation of various gases, environmental hazards, biocompatibility, toxicology, heterogeneous catalyst, and biomedical applications. These structures have attracted global attention of researchers due to their increasing utilizations in many areas of science. Freshly, zinc-based MOFs are becoming popular because of their versatile application in biomedical, i.e., drug delivery, biosensing, and cancer imaging. Topological indices (TIs), the graphs invariants or numerical graph descriptors, are useful in characterizing the topology of molecular structures and helpful in defining the psychochemical properties of these structures. This paper mainly highlights the comparison between two MOFs namely zinc oxide (ZnOx) and zinc silicate (ZnSl) networks via some multiplicative Zagreb connection indices (MZIs), namely modified first MZCI (1st MZCI) modified second MZCI (2nd MZCI), and modified third MZCI (3rd MZCI).