French President Emmanuel Macron said on Friday that "in the fight against Islamist terrorism, we will never give in," after a female police officer was stabbed by a man and died of her injuries at a police station southwest of Paris.

Earlier in the afternoon, the 49-year-old woman working at the police station in Rambouillet, some 60 kilometers from Paris, was stabbed in the throat by the man and died of her injuries.

The 37-year-old man of Tunisian origin, who was not on the radar of intelligence services for radicalization, was shot by the police on the spot and died shortly, French media reported.

An investigation into the attack led by the national counter-terrorism prosecutor's office is underway.