Another officer shot the assailant in the chest, police union spokesman Yves Lefebvre told BFMTV.
Ikken, 40, used a hammer to attack the police officer, who suffered slight injuries, and was found to be carrying kitchen knives.
Large numbers of police cars filled the area on the Ile de Cite island in the Seine River in the center of Paris as authorities urged people to stay away from the area.
The man was shot by police in Paris on Tuesday afternoon. We are with our 2 terrified children'.
Authorities responded to an incident near Notre Dame Cathedral in Paris after a man attacked an officer, police confirmed to multiple media outlets.
The man was shot by the officer twice, Fox News reports, now wounded and in custody.
Following the incident the Paris prosecutor's office swiftly launched a counter- terrorism investigation.
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French Interior Minister Gerard Collomb said earlier that the attacker shouted "This is for Syria!" as he struck the police officer. The attacker has been taken to hospital. One person inside the cathedral tweeted that everyone there was safe and shared a photo.
Newly elected President Emmanuel Macron, portrayed by rivals as weak on security during the presidential campaign, ordered the task force to be set up last month to steer France's multiple security agencies from his Elysee Palace offices.
Tuesday's attack had parallels with one in April when a militant shot dead one police officer and wounded two others on Paris' Champs-Elysees boulevard. Soldiers patrol its streets alongside police to guard tourist sites, government buildings and events.
French TV reported scenes of panic during the latest incident, with tourists scrambling for cover.
Just days ago, three attackers who said they supported ISIS allegedly plowed through pedestrians on the iconic London Bridge in London, killing around a dozen people and injuring dozens more. More than 120 people were killed in a matter of one night in November 2015, when attackers carried out shootings and explosions in several parts of the French capital.
A source from the terror probe told AFP that the attacker was an Islamic State "solider of caliphate".
In September, Notre-Dame was already the scene of a scare after a vehicle full of gas canisters was found parked nearby. The interior ministry at the time said it was likely an attack had been imminent.
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