The issue dates back to 2012 when tax authorities raided its French offices, said the report on Monday.
According to the report in Capital, the French subsidiary of the social network confirmed "to have concluded an agreement with the tax authorities" covering the years 2009 to 2018.
"We take our tax obligations seriously, pay the taxes we owe in all the markets we operate in and work closely with tax administrations around the world to ensure compliance," a Facebook spokesperson was quoted as saying.
"Since 2018, we have changed our sales structure so that revenues from advertisers supported by our teams in France are recorded in this country."
France earlier faced criticism from the US for its effort to push a digital tax targeting US tech technology giants even as the Organisation for Economic Cooperation and Development (OECD) is trying to negotiate a deal to better tax companies such as Google, Apple, Facebook and Amazon.
After agreeing to delay collection of digital tax until the end of the year, Paris hinted in May that it would go ahead with taxing Internet giants, irrespective of progress on the international agreement.