Well that is a somewhat interesting way to spin what's happening.
Sure, this started off peacefully. Over 500,000 people took to the streets across cities such as Paris and Marseille to demonstrate against the high cost of living, rising fuel prices, and deteriorating public services. But those protests were very soon hijacked by violent fringe groups, mostly far left gangs, Antifa and Islamists. They set fire to cars and buildings—including the historic 143-year-old town hall in Limoges (which managed to survive two world wars). They looted hundreds of shops, and clashed heavily with police, who deployed tear gas, water cannons, and batons. The French police made over 2,000 arrests.
Its THESE events the BBC and other mainstream media sources are mischaraterizing as peaceful, not the earlier protests from a couple of weeks ago.