A man stabbed and badly wounded a policewoman in the town of La Chapelle-sur-Erdre in western France on Friday before he was arrested in a shoot-out.
The assailant had been caught after a manhunt that involved two police helicopters and more than 200 officers.
There was a shoot-out during the arrest and two officers were shot and wounded.
The stabbed policewoman was in a critical state, BFM TV reported.
"The police have neutralised the suspect behind the knife attack against a municipal policewoman in Chapelle-sur-Erdre. Thank you and my thoughts for those officers wounded making the arrest," Interior Minister Gerald Darmanin tweeted.
Darmanin said he would be travelling to the scene of the attack.
The assailant's motive was not immediately clear.
The office of France's anti-terrorism prosecutor said it was monitoring the situation but was for now not leading the investigation.
The incident comes a month after a female police administrative worker was knifed to death near Paris by a Tunisian national.
US immigration agents shot and killed a US citizen in Minneapolis on Saturday, officials said, sparking fierce protests and condemnations from local leaders in the second such incident this month.
More than 4,000 flights were canceled in the US on Saturday ahead of a monster winter storm that has already cut power to more than 160,000 electricity customers as far west as Texas, and threatened to paralyse eastern states with heavy snowfall.
Seven people have died and 82 are missing after a landslide hit in Indonesia's West Java province, Indonesia's disaster mitigation agency said on Saturday, amid reports of heavy rain in the area.
The death toll from a bombing at a wedding near the Afghan border rose to seven on Saturday, police said, as Pakistan struggles to deal with a rising wave of attacks.
An Australian boy has died in the hospital after being bitten by a shark in Sydney Harbour, his family said on Saturday after a series of shark attacks along the country's east coast.
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