France's new bill supporting independent bookstores against competition from web-based retailers introduces "discrimination against online consumers", said Amazon.
Companies like Amazon are restricted from offering combined 5% reductions and free deliveries under the new laws.
Amazon said the measures would "reduce French people's spending power".
The country's 3,000 independent bookshops had complained they can't compete with cut-price offers online.
The opposition right-wing party UMP proposed the bill, but it also has the support of the left.
It has been approved by the lower house and will now be sent to the Senate.
The BBC's Paris correspondent Christian Fraser said the bill "might be seen as payback" for Amazon's practices of reporting European sales through a Luxembourg holding company, to take advantage of comparatively low corporate tax rates.
French Culture Minister Aurelie Filippetti has criticised Amazon's practices in the past, particularly free deliveries or its policy of "tax optimisation."
Amazon insists the arrangement is legal under the European Union's single market rules.
In June, Ms Filippetti said: "Today, everyone has had enough of Amazon."
She added that the company, "slashes prices to get a foothold in markets only to raise them once they have established a virtual monopoly."
Terry Craven, bookseller at Shakespeare and Company Bookstore in Paris, said the new law was "very much" in line with other, similar policies.
"It doesn't seem to be discriminatory. Amazon has certain ways of looking at the free market which is simply not one that the French state takes, " he said.
Mr Craven added: "It is good news in so far as it is supporting the independent bookshops, which we greatly appreciate."
Britain has a third of the number of France's independent bookshops.
France is known for being proud of its local stores, considering them essential to bring culture to small villages.