During the ongoing COVID-19 pandemic, along with the SARS-CoV-2 infection, another zoonotic origin virus emerged: monkeypox virus. Researchers are trying to screen the wild animals to pinpoint the exact origin of these viruses in both cases. For SARS-CoV-2, scientists who were studying the zoonotic transfer of the virus are currently divided along four distinct lines: the first group suspects the pangolin as the source of the SARS-CoV-2 virus; the second one is the bat origin of the virus; the third group includes both the pangolins and bat, and fourth group informed about the origin of several other animals. Similarly, scientists have noted significant host ranges of the virus for the monkeypox virus, such as monkeys, chimpanzees, rodents, prairie dogs, etc. Therefore, we should understand some essential points of the zoonosis of these two important viruses, such as animal origin, natural reservoir, intermediate hosts, virus spillover events (spillover time, and frequency of infecting the one host to another or reservoir to human), etc. We appeal for long-term monitoring through the teamwork of scientists involving the fields of wildlife biology, veterinary medicine,molecular biology, virology, health science, and computational biology. It is essential to create an integrated multi-national scientific task force with adequate funding from all countries originating in the regions of these two viruses. It could explore the mechanisms involving not only the SARS-CoV-2 and monkeypox virus origin, host range, and all spillover events of these viruses but also the future outbreak of wildlife-based epidemics.