Brussels will be on alert for a wave of copycat national polls across the European Union following Britain's decision to quit.
Right-wing leaders across the 28-member bloc were swift to underline their demands for similar votes following the shock result.
Marine Le Pen, the leader of the National Front in France, tweeted "victory for freedom", adding that she had "asked for years" for the same process to be held in all EU nations.
Geert Wilders, who heads the populist PVV party in the Netherlands, said Dutch voters should be given a say on membership as soon as possible.
"The United Kingdom is leading the way to the future and liberation," he said. "The time is now for a new start, trusting in its own strength and sovereignty. Also in the Netherlands.
"The Dutch population deserves a referendum as well. The Party for Freedom (PVV) demands therefore a referendum on Nexit, a Dutch EU exit. Dutch people should have the opportunity as soon as possible to decide on the Dutch membership of the European Union."
Italy's Five-Star party is pushing for a referendum on whether to keep the euro following a boost in support at the polls.
Denmark, which has remained outside the euro, has seen growing support for a vote on EU membership.
Neighbouring Sweden is also showing interest in quitting, with one of the country's Democrat politicians, Paula Bieler, tweeting "#swedenisnext".
The country's foreign minister, Margot Wallstrom, recently warned that the "spill-over effect will be unfortunately felt, deeply felt".
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