He was taken to a local hospital in "extremely critical condition" at the time, but died on Saturday at Regional One Hospital.
Redd became a Memphis Police officer in 2008 and served as a United States Marine, according to officials.
MEMPHIS POLICE OFFICER IN CRITICAL CONDITION, ONE DEAD AFTER LIBRARY SHOOTING
Officer Geoffrey Redd was shot at around 12:32 p.m. on Feb. 2 while responding to a shooting call at Poplar-White Station Library. (Memphis Police Department)
Police say that Redd was "a husband, a father, and the Director of Security at his church."
GEORGIA GAS STATION SHOOTING LEAVES 9 CHILDREN INJURED
"Rest easy, Officer Redd. You will be missed," the police department said in a tweet.
As a result of the shooting, one person was pronounced dead at the scene.