Intermarché supermarkets offered a 70% discount on Nutella, bringing the price down from €4.50 (£3.90) to €1.40.
But police were called when people began fighting and pushing one another.
“They are like animals. A woman had her hair pulled, an elderly lady took a box on her head, another had a bloody hand,” one customer told French media.
A member of staff at one Intermarché shop in central France told the regional newspaper Le Progrès: “We were trying to get in between the customers but they were pushing us.”
All of its stock was snapped up within 15 minutes and one customer was given a black eye, the report adds.
Similar scenes have been reported across France, with some being described as “riots”.
The hunt for discounted jars continued on Friday, with shoppers in a supermarket near Toulouse being handed just one each:
Some 365 million kilos of Nutella, a hazelnut chocolate spread, is consumed every year in 160 countries around the world.
It was created by the Ferrero family in the 1940s in the Piedmont region of Italy, which is famed for its hazelnuts.
The firm said it regretted Thursday’s violence, but noted that the discount had been unilaterally decided by Intermarché.
Credit: BBC, www.bbc.com