The shocking incident took place in the Paris suburb of Maisons Alfort on Saturday afternoon.
According to reports the husband and wife, both in their 80s were walking in the garden of the residence where they lived in the suburb to the south of Paris.
According to French media reports as they strolled through the gardens the woman broke the news to her husband, whom she had been married to for decades, that she had another lover.
The man then reportedly flew into a rage and hit his wife with several blows to her head. The 80-year-old woman then grabbed a rope and threatened to commit suicide if he did not stop attacking her.
But out of control with anger, her husband is believed to have grabbed the rope and then strangled his wife.
He was immediately taken into custody by police, who have launched a criminal investigation into the alleged murder.