The 40-year-old went to his ex wife’s home in New Zealand Lane in Duffield in the early hours of New Year’s Day where he inflicted the devastating injuries.
Police attended and Helen Hancock, aged 39, and her partner Martin Griffiths, aged 48, from Derby, were found dead at the scene.
Hancock, of Portland Street in Etwall, was arrested at the scene and later charged with two counts of murder.
He pleaded guilty when he appeared before Derby Crown Court in July.
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Her Honour Judge Nirmal Shant QC yesterday jailed Hancock. He will serve at least 31 years before he is elligible for parole.
The judge said: “What you did that night has deprived two families of the people they love and no sentence I impose will seem adequate to them and nothing I do can fill the undoubted void that the deaths of Helen Hancock and Martin Griffiths have left in their lives.
“Your actions that night left your three children without a mother and you left Martin’s family without a son and his children without a father.”
Senior Investigating Officer Detective Inspector Steve Shaw, of Derbyshire Police, paid tribute to the pair after the sentencing.
He added: “What was apparent throughout our investigation was just how popular Helen and Martin were.
“They were much-loved by not only their families but by friends, neighbours and colleagues and I know their deaths have devastated everyone who knew them.”
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Mrs Hancock was a PE teacher at The Fountains Federation Special School in Burton while Mr Griffiths was a company director.