Kenyell Jefferson, 38, and Elijah Young, 19, were shot at College Hill Courts on Wednesday night.
Chattanooga Police said it happened in the 1200 block of Cypress Street Court.
One person was shot in the abdomen and the second in the thigh. Hamilton County EMS responded to the scene and transported the victims to a local hospital with non-life threatening injuries.
Investigators were able to speak to both victims and other witnesses in the area.
Members of the Violent Crimes Bureau are actively investigating this incident. Chattanooga Police ask anyone with information regarding this incident to call 423 698-2525.