Sources told RFI that the unidentified man shouted "Allahu Akbar" - "God is great" in Arabic - during the incident.
Investigations have been opened to the Anti-Terrorist Section of the Criminal Brigade (SAT) and to the Directorate General of Internal Security (DGSI) and the charges are "terrorist criminal association for the commission of crimes of genocide, attacks on persons" and "attempted assassination of persons holding public authority in connection with a terrorist enterprise", added the report.More news: British Gas electricity price hike a 'slap in the face' for families
The man was quickly subdued by soldiers and taken into custody, while police cleared out visitors in order to conduct a search of the entire area.
The detainee, according to a source close to the investigation, has a history of mental disorders and left a psychiatric facility in late July, but in his statements to the police said he carried out the action as a member of the terrorist group Islamic State (EI).
The Eiffel Tower reopened to tourists as usual on Sunday morning.More news: Euro jumps to January 2015 highs on European Central Bank speculation
In January, a man attacked soldiers on guard near the Louvre museum in Paris with a machete, causing a slight injury to one of them.
Although a French national, the man was born in Mauritania, an African Arab nation, in 1998.
He was found guilty of inciting terrorism and making death threats in December 2016 and received a suspended sentence. The Eiffel Tower was lit up with team colors in celebration of the record-breaking $520 million acquisition of Brazilian star Neymar.More news: SP, 1 BSP members resign from UP Legislative Council
Security forces have been attacked several times this year at tourist sites in Paris, which they patrol intensively.