PARIS — Among the many populist movements in Europe encouraged by Britain’s vote to leave the European Union, none was more energized than France’s far-right National Front, whose leader, Marine Le Pen, exulted soon after the results were announced that it was “a day of joy.”

For nearly 30 years, the National Front has been vilifying the European Union while striking the same anti-immigration themes that animated the campaign in Britain. Now, with Britain having demonstrated the breadth and depth of opposition to the concentration of powers in Brussels and Europe’s open-borders policy, Ms. Le Pen is seizing the opportunity to build support for herself and her party heading into next year’s presidential election.

“This gives us additional legitimacy to carry forward this same debate in France,” she told journalists on Friday, calling for a “Frexit” referendum.

The far-right party took particular heart that support for cutting ties with the European Union came from places and voters in Britain that are very similar to the National Front’s base of support in France: working people who see themselves as losers from globalization; rural areas; and small and medium-size cities that feel left behind.