The outbreak of the COVID-19 continues to date, which poses a great threat to social security and stability. In the short term, there is a large increase in the infectious medical waste (IMW), the pressure of medical waste treatment centers (MWTCs) is greatly enlarged and the probability of contact infection is significantly augmented. If IMW is improperly disposed of, it may accelerate the spread of the virus and pose a risk to the target population. Choosing the best disposal site for IMW is a challenging decision-making issue. Therefore, this paper proposes an evaluation model based on analysis network process (ANP), and establishes a universal risk assessment method system for MWTCs, aiming to determine the optimal treatment location of IMW, so as to effectively deal with a large amount of IMW in a very short time and reduce the risk of infection. Finally, the feasibility and effectiveness of the method are illustrated with an example of Wuhan, Hubei province, China during COVID-19. The conclusion of this study can provide a reference for the selection of MWTCs under infectious diseases.