The 48-year-old unarmed administrative officer was stabbed in the neck.
The 36-year-old attacker, who reportedly came to France from Tunisia several years ago, was shot and later died in hospital.
Anti-terror prosecutors have taken over the inquiry, and the killing is being treated as a possible terrorist attack.
The stabbing took place in the secure entrance to the police station on Friday afternoon as the worker was returning from her break,https://www.bbc.com/news/world-europe-56862436