Alex Salmond conceded defeat in his fight for Scottish independence, after Scots voted by a margin of around 55%-45% to stay part of the United Kingdom.

The Scottish National Party First Minister said he accepted "the democratic verdict of the people of Scotland" and called on the leaders of the three main pro-Union parties to live up to promises of further devolution they made during the r eferendum campaign.

Despite winning a majority of votes in some areas - including the nation's largest city Glasgow - the Yes campaign failed to secure enough support to win the historic referendum, failing to take key targets like Clackmannanshire and the Western Isles and falling well behind in the capital Edinburgh.

After a night of drama, the result became a mathematical certainty shortly after 6am, as the returning officer in Fife announced a comfortable majority for No in the county.

Mr Salmond's deputy Nicola Sturgeon had already conceded defeat with a handful of results still to be declared, telling the BBC she felt a " real sense of disappointment that we have fallen narrowly short of securing a Yes vote".

The First Minister - whose failure to attend his local count in Aberdeenshire led to early speculation that Yes Scotland was heading for defeat - accepted in a speech at 6.15am before a One Scotland banner in Edinburgh that the country did not want independence "at this stage".

He said: "It is important to say that our referendum was an agreed and consented process and Scotland has by a majority decided not at this stage to become an independent country.

"I accept that verdict of the people and I call on all of Scotland to follow suit in accepting the democratic verdict of the people of Scotland."

In an early-morning phone call, Prime Minister David Cameron spoke to former Labour chancellor Alistair Darling, the leader of the cross-party Better Together campaign, to congratulate him on "a well-fought campaign".

The PM is due to make a televised address to the nation this morning in which he is expected to set out plans for further devolution to Scotland as well as a "rebalancing" of the representation of the four nations of the UK.

Deputy Prime Minister Nick Clegg said: "I'm absolutely delighted the Scottish people have taken this momentous decision to safeguard our family of nations for future generations.

"In a dangerous and uncertain world I have no doubt we are stronger, safer, and more prosperous together than we ever could be apart.

"But a vote against independence was clearly not a vote against change and we must now deliver on time and in full the radical package of newly devolved powers to Scotland.

"At the same time, this referendum north of the border has led to demand for constitutional reform across the United Kingdom as people south of the border also want more control and freedom in their own hands rather than power being hoarded in Westminster.

"So this referendum marks not only a new chapter for Scotland within the UK but also wider constitutional reform across the Union."

Mr Salmond said the referendum and the high turnout had been a "triumph for the democratic process" and promised to keep his pledge in the Edinburgh Agreement which paved the way for the referendum to respect the result and work for the benefit of Scotland and the United Kingdom.

He told supporters: "The unionist parties made vows late in the campaign to devolve more powers to Scotland.

"Scotland will expect these to be honoured in rapid course - as a reminder, we have been promised a second reading of a Scotland Bill by March 27 next year.

"Not just the 1.6 million Scots who voted for independence will demand that timetable is followed but all Scots who participated in this referendum will demand that timetable is followed."

Mr Salmond said he would shortly speak to the Prime Minister on the results.

But he highlighted the "empowerment" of first time voters, including 16 and 17 year olds.

And the First Minister said: "Whatever else we can say about this referendum campaign, we have touched sections of the community who have never before been touched by politics, these sections of the community have touched us and touched the political process.

"I don't think that will ever be allowed to go back to business as usual in politics again."

In a rallying call to his supporters, Mr Salmond urged the Yes voters to reflect on how far they had come.

"I don't think any of us, whenever we entered politics, would have thought such a thing to be either credible or possible," he said.

"Over the last few weeks we have seen a scare and a fear of enormous proportions - not a scaremongering directed at the Scottish people but the scare and the fear at the heart of the Westminster establishment as they realise the mass movement of people that was going forward in Scotland.

"Today of all days as we bring Scotland together, let us not dwell on the distance we have fallen short, let us dwell on the distance we have travelled and have confidence the movement is abroad in Scotland that will take this nation forward and we shall go forward as one nation."

Mr Darling said Scotland had chosen "positive change, rather than needless separation".

Speaking before a banner reading "Love Scotland, Vote No" in Glasgow, the Better Together leader said: "Today is a momentous result for Scotland and also for the United Kingdom as a whole.

"By confirming our place within the United Kingdom, we have reaffirmed all that we have in common and the bonds that tie us together. Let them never be broken."

Mr Darling said all parties that had made "shared commitments to change" must now work to put those promises into action both north and south of the border.

And he told No campaigners - who had never matched Yes Scotland in terms of their visible presence on the streets and in social media: "You represent the majority of opinion and your voices have been heard. We've taken on the argument and we've won. The silent have spoken."

To loud cheers from supporters, Mr Darling concluded: "The vote is over and the Scottish people have now delivered their verdict. We have taken a decision for progress and change for Scotland within the United Kingdom. Come on Scotland, let's get on with it together."

Ahead of his statement, Mr Cameron tweeted: "I've just spoken to Alex Salmond, congratulating him on a hard-fought campaign. I'm delighted the SNP will join talks on further devolution."

The First Minister of Wales Carwyn Jones said: "Pleased the people of Scotland have voted to remain in the Union - together we will shape a new constitutional future for the UK."