Darmanin said that 735 of France’s 3,700 schools were now affected “one way or another” by the violent protests.
Announcing the arrests late on Friday, Nuñez told France’s TF1 television network: “We are sliding into riot and urban violence, and we are using all intermediate means to put an end to it.”
Meanwhile, Education Minister Édouard Geffray said the movement had been hijacked by non-students.
He told French broadcaster BFMTV that teachers had said “the people in front of me were not my students”.
Earlier on Friday, a 17-year-old was arrested on suspicion of attempted homicide after protests in Belfort, north-eastern France, where a police officer was targeted.
BBC Verify has now authenticated two videos that show the man, who was later identified as an officer by a minister, being beaten up.
In the graphic footage, a group of young men are seen chasing him. The officer falls to the ground, and is subsequently punched and kicked multiple times in the head.
At least 65 staff members have been injured in the unrest, the education ministry said.
In the Paris suburb of Pantin police charged at protesters and made arrests after projectiles where thrown at officers.
Meanwhile, in Strasbourg tear gas was deployed as police feared conditions would become more hostile, according to the Reuters news agency.
Rubbish bins have also been set on fire in Rennes and Paris.
“As far as we’re concerned, we’ve won – our school is closed this morning,” Lola, a 16-year-old protester, told the AFP news agency on Friday.
She said police actions had made things worse.
“It makes us even angrier – the police have no right to hit us or use tear gas on us,” she added.
