The contraband with an estimated street value of 1 million euros (USD 1.4 million) was fed into a machine and ground, with the powder to be carted off and incinerated.
"With this destruction today... France is sending an unequivocal message to poachers, traffickers and consumers of illicit wildlife products," said French Environment Minister Philippe Martin who attended the event.
"We are resolved to continue the fight against trafficking, and to remove any temptation to recover the seized ivory" for the contraband market.
Some 22,000 African elephants were killed illegally in 2012, according to a report last year of the International Union for the Conservation of Nature, which warned of "local extinctions if the present killing rates continue".
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The African elephant population is presently estimated at some 500,000 individuals -- about half the 1980 total.
Environmentalists say destroying confiscated ivory is the only way of ensuring that the contraband is permanently removed from the market.
French environmental group Robin des Bois, whose name means Robin Hood in English, estimates that France has seized some 17 tonnes of the commodity from smugglers since a global ivory ban was imposed in 1989.
The ban has since been partially overturned to allow limited legal sales -- a move conservationists claim has boosted black-market demand.
Most of France's stash has been held in storerooms of law enforcement and justice agencies, or museums.
Martin said his country was the first in Europe since the 1989 ban to destroy seized ivory in such a public gesture, adding he expected other nations will follow suit.