COVID-19 Correctional Facility Emergency Response Act of 2020 This bill establishes a new grant program to help states and local governments prevent, detect, and stop the spread of COVID-19 (i.e., coronavirus disease 2019) in correctional facilities. Specifically, the Department of Justice (DOJ) must award grants to states and local governments that release certain persons—persons who do not pose a serious risk or who meet certain criteria based on age or health—from correctional facilities. Additionally, DOJ must award grants to states and local governments that adopt cite-and-release procedures for suspects who do not pose a public safety risk.