Dismantle Mass Incarceration For Public Health Act of 2020 This bill requires states and local governments, as a condition of receiving funds under the Edward Byrne Memorial Justice Assistance Grant program, to release eligible individuals from correctional facilities (including juvenile facilities) during the COVID-19 emergency. The bill specifies the categories of individuals who are eligible for release, including an individual who is (1) awaiting trial, (2) subject to an immigration detainer issued by the Department of Homeland Security, (3) medically vulnerable, (4) over the age of 55, or (5) a primary caregiver or pregnant. The bill also requires states and local governments that receive funds under the program to implement recommendations released by the Centers for Disease Control and Prevention to prevent the spread of COVID-19 in correctional facilities.