With a long tradition of public support for the arts, France has spared artworks from the wealth tax since former Socialist president Francois Mitterrand introduced the levy in 1982.
People with assets worth more than 1.3 million euros ($1.68 million) are liable for the wealth tax of 0.25 percent on top of their income tax. The rate doubles to 0.5 percent for assets over 3 million euros.
Hollande's cash-strapped government has already come under fire for adding new taxes on the rich, especially for a new 75 percent tax rate on incomes over 1 million euros which is prompting some wealthy French to consider moving abroad.
Eckert said earlier this week that the measure was more about fiscal justice than raising new revenues, which he acknowledged were unlikely to be significant.
Under the amendment, artworks worth more than 50, 000 euros would be included in the assets used to calculate a person's fortune. Eckert had originally sought the threshold to be 5, 000 euros.
Filippetti said it would be a "grave error" to take away special tax treatment for art at a time of growing competition between the world's major art markets.
"We have made and will make efforts so Paris recovers a top position. That's the best way to help French artists, " Filippetti said in an interview on the website of Les Echos newspaper.
ART WORLD UP IN ARMS
The amendment quickly ruffled feathers in the Paris art world just as it is preparing for the opening next week of its annual flagship art show, the FIAC.
"I think we should be extremely careful in France and very vocal against the extreme danger of this bill, " said FIAC director Jennifer Flay.
"It would compromise the art market's healthy fundamentals and put at risk the means by which artists make a living, " she added.
The amendment is to be voted on by the lower house of parliament next week and then go before the Senate. The Socialists have a majority in both chambers.
The fiscal credibility of President Hollande's government already took a knock last week when high-profile protests by business owners forced the government to retreat from plans to raise taxes on entrepreneurs when they sell their companies.
Hollande is pushing through France's toughest budget in at least three decades, relying heavily on tax increases on the wealthy as it seeks to get its deficit down to 3 percent of national output next year from 4.5 percent this year.
Socialist party veteran Jack Lang, Mitterrand's culture minister when the wealth tax was introduced, urged lawmakers to vote against the measure on art, warning it would harm the art market and France's cultural reputation.
"It would cause a haemorrhage of art, and collectors' exile to more welcoming countries, " Lang said in a statement.
Stephane Jacquin, head of wealth management at Lazard Freres Gestion, said he did not expect the amendment to get sufficient backing in parliament.
"This isn't the first time this debate has come up, and each time art continues to be excluded from the wealth tax, " he said.