A bystander saw the newborn after climbing the drain on Monday, Garrith Jamieson, head of Durban Rescue Care, said in a statement obtained by CNN.
Rescue services used a bitter and hammer to break the drain, Jamieson said. The entire operation lasted for almost four hours.
After being approached and released, the baby went to the Inkosi Albert Luthuli Hospital for immediate care.
Dramatic video from the scene showed once the baby was removed from safety.
The baby, found in his umbilical cord, is believed to be between one and three days.
He was named Sibanisethu (Our Ray of Light) and Gabriella of the residents, the statement said.
"It is a miracle that this baby is saved. Doctors have given this baby a clean health bill, and he is transferred to another hospital," said the public official health Dr. Sibongiseni Dhlomo.