The delivery came three days after Ms McAliskey was taken to the Whittington Hospital, north London, from her prison cell in nearby Holloway prison. Ms McAliskey, who suffers from asthma, made the short trip on Friday with an escort of armed police following a court hearing. The baby was then two days overdue.
A spokesman for the Roisin McAliskey campaign said yesterday: "She has had the baby. It is a 5lb 13oz girl. I gather it was quite a long labour and Roisin is very tired, but they are both fine."
A spokeswoman for Whittington Hospital said later that "both mother and baby are doing well".
Ms McAliskey has been held on remand in Holloway while fighting extradition to Germany in connection with last summer's attack.
Despite the campaign over her pregnancy and asthma, she had been refused bail until Friday.
The hospital's chief executive Jane Perrin confirmed at the weekend that there would be a "police presence" and strengthened security during Ms McAliskey's stay.