Local media has identified 39-year-old Karim Cheurfi as the man who was shot dead by police after a running attack against officers with a Kalashnikov-style rifle. She said her plans to vote for Fillon, a former prime minister, remain unchanged.
None of the candidates immediately commented. Two of the main candidates, conservative Francois Fillon and centrist Emmanuel Macron, canceled campaign events Friday. "Democracy can not be intimidated", the ministry said in a message posted on Twitter on Friday.
"The whole of Europe is targeted because it represents the values and ideals of peace", he said.
With the first round of voting in the two-stage election to take place on Sunday, far-right leader Marine Le Pen, an anti-EU politician who wants to ditch the euro, seized on the Paris shooting to push her policies on national security.
As Paris got back to business, municipal workers in white hygiene suits were out before dawn to wash down the sidewalk where the assault took place - a scene now depressingly familiar after multiple attacks that have killed more than 230 people in France over two years. Security is high preceding the vote after police said they arrested two men Tuesday in what they described as a thwarted terror attack.
The attacker emerged from a vehicle and used an automatic weapon to shoot at officers outside a Marks & Spencer's department store at the center of the Champs-Elysees.
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Police shot and killed Cheurfi after he opened fire on a police van on Paris' most famous boulevard.
"We heard one or two gunshots".
The French prosecutors' office said the counter-terrorism office had opened an inquiry.
Islamic State claimed responsibility for the fatal shooting late on Thursday of a French policeman on the Champs Elysees by a French national who lived in Paris.
In a statement from its Amaq news agency, the extremist group gave a pseudonym for the shooter indicating he was Belgian.
The incident follows two recent attacks on soldiers providing security at prominent locations around Paris - one at the Louvre museum in February and one at Orly airport in March.
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Police tape surrounded the quiet, middle-class neighborhood and anxious neighbors expressed surprise at the searches.
Cheurfi was convicted of attacking a police officer in 2001, according to archive reports in the French newspaper Le Parisien. Not least amongst those is U.S. President Donald J. Trump, who was moved to remark: "The people of France will not take much more of this".
He had previously been flagged as an extremist, according to two police officials, speaking to AP on condition of anonymity because they were not authorised to publicly talk about the probe.
A key question was how the attack might affect French voters, since campaigning is banned starting Friday at midnight. Paris' iconic Champs-Elysees boulevard is reopen and picking up its usual early morning routine Friday after a gunman opened fire on police, killing one officer and wounding three people before police shot and killed him.
He vowed that, if elected, he would within weeks of taking power create a task force to coordinate French intelligence efforts against the Islamic State group.
Le Pen, who has campaigned on an anti-European Union, anti-immigration platform, was the only major French candidate who backed Republican Trump in the November 8 US presidential election. She canceled a minor campaign stop, but scheduled another.
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After an emergency meeting of security officials, Prime Minister Bernard Cazeneuve said security forces, including elite units, were on alert to back up the 50,000 police earmarked to ensure citizens' safety during the election.