Alexander Van der Bellen has won Austria's presidential election, preventing Norbert Hofer from becoming the EU's first far-right head of state.

Mr Van der Bellen, a pro-EU independent backed by the Greens, beat Mr Hofer by just 31,000 votes among the 4.64m cast.

The president-elect vowed to address the "divisions" among Austrians that the poll had "made visible".

Mr Hofer's campaign had targeted anti-EU feelings and fears about migrants. He said his defeat was a "sad day".

The Freedom Party candidate said on his Facebook page (in German): "Please don't be disheartened. The effort in this election campaign is not wasted, but is an investment for the future."

'Relief'

The interior ministry said Mr Van der Bellen had won 2,254,484 votes to Mr Hofer's 2,223,458, or 50.3% to 49.7%.

Although Mr Van der Bellen, 72, is officially independent, he led Austria's Greens for a decade and some European Green politicians were hailing him as the world's first elected Green head of state.

Speaking after his victory, he said he accepted many Austrians had different views and that some people were angry, but he added: "People can be different and still treat each other respectfully."

Image copyright Getty Images Image caption Mr Hofer had narrowly led after Sunday's count

The rhetoric in the campaign had been fierce at times. Mr Van der Bellen had said he did not want Austria to be led by a "populist right-wing, pan-Germanic fraternity member" and even urged voters "who don't like me but perhaps like Hofer even less to vote for me".

Mr Hofer had been photographed sporting the German colours of the nationalist Marko-Germania student fraternity, which stands for "the German cultural community" and bears the slogan "Honour, Freedom, Fatherland".

At his swearing-in as Freedom Party candidate, Mr Hofer wore a cornflower in his lapel, which was a Nazi symbol in the 1930s.

Freedom Party campaign manager, Herbert Kickl, hailed Mr Hofer's performance, saying: "There are many Norbert Hofers in the Freedom Party and we are very, very well placed for parliamentary elections."

France's far-right National Front said: "This historic performance is certainly the precursor of future success for all patriotic movements, both in Austria and around the world."

But French PM Manuel Valls said in a Twitter post: "It's a relief to see the Austrians reject populism and extremism. Everyone in Europe must draw lessons from this."