Sarah Baron said the extent of the soldiers' injuries is not yet clear. She said the attacker was detained but two people with him are believed to have fled after the stabbing in the city center, near the Galeries Lafayette department store.
France has been on high alert since the attacks in the Paris region by three Islamic extremists that left 20 people dead, including the gunmen. More than 10,000 soldiers have been deployed around the country to protect sensitive locations, including major shopping areas, synagogues, mosques and transit hubs.
Interior Minister Bernard Cazeneuve said those arrested in the Paris and Lyon areas are not suspected of links to the Jan 7-9 attacks.
Police are trying to thwart new violence and find possible accomplices to three radical Islamic gunmen who attacked a kosher grocery and newspaper Charlie Hebdo. The men claimed allegiance to extremists in the Mideast.
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Three of those arrested today had traveled to Syria and returned in December 2014, a French official said, though it was unclear whether they joined the Islamic State group or another group.
The group did not appear to be involved in any particular plot, or linked to any other networks already broken up in France in recent months, said the official, who was not authorized to be publicly identified discussing security matters.
France has seen hundreds of homegrown radicals join extremists abroad, most linked to the Islamic State group in Syria and Iraq.
Cazeneuve said recent atrocities by the Islamic State group including the killing of a Japanese hostage "only strengthen the government's determination to fight terrorism every day and every hour."