The UK’s vote to leave the EU has sparked demands from far-right parties for referendums in other member states.
France’s National Front leader Marine Le Pen said the French must now also have the right to choose.
Dutch anti-immigration politician Geert Wilders said the Netherlands deserved a “Nexit” vote while Italy’s Northern League said: “Now it’s our turn”.
The UK on Thursday voted by 52% to 48% to leave the European Union after 43 years, in a historic referendum.
Analysts say EU politicians will fear a domino effect that could threaten the whole organisation.
The EU worries Brexit could reverse 70 years of European integration.
In all my years watching European politics, I have never seen such a widespread sense of Euroscepticism.
Plenty of Europeans looked on with envy as Britain cast its In/Out vote. Many of the complaints about the EU raised by the Leave campaign resonated with voters across the continent.
Across Europe leading Eurosceptic politicians queued up this morning to crow about the UK referendum result.
But the mood in Brussels is deeply gloomy. The Brexit vote sends screaming alarm bells, warning that the EU in its current form isn’t working.
Last Friday, Ms Le Pen had told a gathering of far-right parties in Vienna: “France has possibly 1,000 more reasons to want to leave the EU than the English.”
She said the EU was responsible for high unemployment and failing to keep out “smugglers, terrorists and economic migrants”.
Mr Wilders, leader of the Party for Freedom in the Netherlands, said in a statement: “We want to be in charge of our own country, our own money, our own borders, and our own immigration policy.
“As quickly as possible the Dutch need to get the opportunity to have their say about Dutch membership of the European Union.”
The Netherlands faces a general election in March and some opinion polls suggest Mr Wilders is leading.
He said: “If I become prime minister, there will be a referendum in the Netherlands on leaving the European Union. Let the Dutch people decide.”
A recent Dutch survey suggested 54% of the people in the Netherlands want a referendum.
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Source: BBC