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The man who killed a French police couple at their home near Paris was acting on an order from so-called Islamic State (IS) to "kill infidels", officials say.
Larossi Abballa, who was killed in a shootout with police, was loyal to IS leader Abu Bakr al-Baghdadi, they said.
A police commander and his partner were stabbed to death at their home. Their three-year-old son survived.
IS has put out a video showing Abballa confessing to the killings.
The 11-minute video, on the IS news agency Amaq, apparently shows him in the home of the couple before police stormed in.
In it Abballa, 25, urged Muslims in France to target police officers, prison guards, journalists, politicians and mayors. He named several prominent French journalists.
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The video is apparently the same as one that Abballa posted on Facebook Live, hours before police killed him, in which he swore allegiance to IS.
Abballa's crime was "a terrorist act", President Francois Hollande said, and France still faced "a significant threat".
The attack happened in Magnanville, about 55km (35 miles) north-west of the French capital.
During negotiations prior to the police assault on Monday, Abballa said he had pledged his loyalty to the IS leader three weeks earlier.
About 20:30 local time (18:30 GMT) Monday - Abballa ambushes the police commander, stabbing him nine times, police say
Abballa enters the man's home, taking his partner, herself a policewoman, and their young son hostage
20:52 - Abballa claims the attack in a live Facebook post
21:30 - elite anti-terror police arrive at the house and a siege starts
About midnight - police assault after Abballa threatened to blow the place up.
When police stormed in they killed Abballa and found the dead woman, whose throat had been slashed. The little boy was in a state of shock.
French media are naming them as Jean-Baptiste Salvaing, 42, and Jessica Schneider, 36.
French Prime Minister Manuel Valls called the attack "a watershed in terms of horror - the home, the intimate life of a family, of a couple of civil servants, was targeted".
In 2013, Abballa was jailed for recruiting fighters for jihad in Pakistan.
He had been under recent police surveillance, including a wiretap. Three people linked to Abballa have been arrested and placed in custody.
In the video - later removed from Facebook - Abballa considers what to do with the couple's son, according to French jihad expert David Thomson, who watched it.
(BBC)
