Abbas Nikabady, 44, of Cardonald, Glasgow, was given a life sentence and ordered to serve at least 18 years behind bars before being eligible for parole.
The High Court in Glasgow heard the killing of Fatemeh Bostani, 43, in the kitchen of the family home took place on June 3 last year.
Nikabady, who was obsessively jealous, attacked his wife, a mother-of-two, when they returned to their home after being out shopping.
He used such force that two knives were broken on her body.
Afterwards he walked to a nearby police station and said: "I've killed my wife."
The court heard Nikabady has shown little or no remorse and blames his wife for what happened.
Jailing him, judge Norman Ritchie QC said: "The ferocity of your attack was shocking. Two knives were broken on her body and it was thought you also wielded another larger one.
"It was a terrifying end to her life to be attack in her own home by the man whom she loved, honoured and obeyed.
"You thoughts about you wife seem to be the product only of your fears and anxiety. You restricted and prevented contact with her family and those who wishes to be her friends. You made the last years of her life unhappy.
"You took her life and have left your two sons without a mother."