Others have called on protesters to converge on the central city of Bourges, which could potentially attract more people from cities farther from Paris.
There were also thousands of marchers in the cities of Bordeaux and Toulon in southern France as well as Strasbourg in the east and the central city of Bourges.
Nearly 60 people had been arrested in the capital, police said, alongside dozens more elsewhere including the central city of Bourges, the site of another major rally.
French police, one wearing a ribbon in the colours of the French flag, block a demonstration of yellow vest protestors in Bourges, central France.
In a first this week, thousands of protesters are expected to descend on the central cathedral city of Bourges, despite being banned from entering its historic centre.
This time, organisers want a major turnout in Bourges, central France, instead of focusing on the capital, where dozens of cars have been burned and stores vandalised in recent weeks.