Olusola Akinrele, 34, was sentenced at the Old Bailey for killing seven-week-old baby Leeya, who died in December 2006 with a catalogue of injuries.
Nigerian Akinrele, who lived in Cambridgeshire, denied murder. The court heard he had overstayed his visa.
A judge ordered his automatic deportation on completion of his term.
Leeya died in Ipswich Hospital when a life-support machine was turned off 12 days after ambulance staff found her apparently lifeless body in her Whittlesey home.
The court heard more than three weeks before, Leeya had suffered 22 broken ribs, a fractured skull and a fractured thigh.
Judge Clegg said: "When she was not asleep, Leeya must have been in excruciating pain."
this is so upsetting how can anyone do this shit? that poor fucking baby. WHY do people harm something so vunerable & precious?
children are a gift...