Ikken was shot and wounded by police after he attacked, shouting: "This is for Syria!"
No group immediately claimed responsibility, but police searching the man's residence outside Paris found a declaration of allegiance to the Islamic State group, according to the Paris prosecutor's office.
Despite this, a spokesman for the French government, Christophe Castaner, in a radio interview said the man had given no sign of his radicalisation and the attack was believed to be "an isolated act".
Mr Macron yesterday appointed Mr Pierre de Bousquet de Florian to head the new task force, the National Centre for Counter Terrorism, that will be under the president's direct authority.
The lawyers said Ikken's friends and family can not believe that he is suspected in the attack, adding: "It's not the person we knew".
The last fatal attack in France dates from April 20, when a policeman was shot dead on Paris's prestigious Champs-Elysees avenue, three days before the first round of the presidential election.
Documents found on the attacker identified him as a 40-year-old Algerian who was a doctoral student in information science at a university in the east of France.
The country has been in a state of emergency since November 2015 when 130 people were killed in co-ordinated attacks across the capital . The new task force chief once headed France's DST internal intelligence service.
US condemns attacks that killed 12 in Iran
In another statement, the news agency said the attacks on Khomeini's shrine were carried out by two suicide bombers . At about 10:40 am Tehran time , gunmen and suicide bombers attacked at the mausoleum of Ayatollah Khomeini.
"This has been created to ensure that the intelligence services truly cooperate", said a French presidency official.
More than 230 people have been killed in a wave of attacks in France either claimed by or inspired by Daesh over the past two-and-a-half years.
"I see a face and I say to myself, this guy is determined, and if my colleague doesn't react, I'm going to leave my life here", said the 22-year-old officer, who sustained minor neck injuries and left hospital a day after Tuesday's attack.
But he said the police response was "immediate and effective".
"When I knew him, he had a pro-Western, pro-democratic outlook", Arnaud Mercier, who said he had not heard from the suspect since November, told the French television channel BFMTV.
Police block off the streets near Notre Dame Cathedral in Paris, France, June 6, 2017.
"At first we thought there must have been a mistake on the person's identity".
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