Police were called to the home in Sunray St, Sunnybank Hills, at about 6am.
“A baby has died and another has been transported to hospital in a critical condition,” a police spokesperson said.
It is understood the babies, believed to be about six weeks old, were in a bed with their mother when the incident occurred, The Courier Mail reported.
When the mother woke up she allegedly found the bedding was covering the children.
Police have established a crime scene and investigations are ongoing.
More to come.