Leonardo's original, which French King Francois I bought from the painter in 1518, can be found in Paris' Louvre museum and is not for sale.
But the copy that is on sale, dating from around 1600, is so similar to the original that it is likely that the artist had close access to Leonardo's version, the Artcurial auction house said.
It estimates the copy will fetch 150,000-200,000 euros ($173,000-$230,000).
"Mona Lisa is the most beautiful woman in painting," Artcurial' auction house expert and auctioneer, Matthieu Fournier, said as the painting went on public display ahead of the sale. "Everyone wants to own a high-quality version of Mona Lisa."
Leonardo, he stressed "had fans, because he invented a style. He had followers, imitators".
In June, a European collector bought another 17th-century copy of Mona Lisa for 2.9 million euros, a record for a reproduction of the work, at an auction at Christie's in Paris.
In 2017, Christie's New York sold Leonardo's "Salvator Mundi" for a record $450 million.