Salmond, 59, told reporters at a news conference that he was proud of the campaign and the record turnout for yesterday's referendum.
"For Scotland the campaign is not over and the dream will never die," he said.
Salmond's impassioned plea to launch a new nation fell short, with Scots choosing instead the security of remaining in union with England, Wales and Northern Ireland.
The referendum's result prevented a rupture of a 307-year union with England, bringing a huge sigh of relief to Britain's economic and political establishment.
A visibly relieved British Prime Minister David Cameron promised to live up to earlier promises to give Scotland new powers on taxes, spending and welfare.
Cameron told reporters outside his Downing Street office that the new plans will be agreed upon by November, with draft legislation by January.
Salmond, even in announcing his resignation as Scottish leader and as the head of the Scottish National Party, was upbeat about Scotland's future.
"We now have the opportunity to hold Westminster's feet to the fire on the vow that they have made to devolve further meaningful power to Scotland," he said. "This places Scotland in a very strong position.
But it wasn't to be.
Salmond said he would serve until a new leader is elected in November, and that afterward he will continue to serve as a lawmaker in the Scottish Parliament.
"It has been the privilege of my life to serve Scotland as first minister," he said. "But as I said often during the referendum campaign this is not about me or the SNP.
"We lost the referendum vote, but can still carry the political initiative. More importantly Scotland can still emerge as the real winner.
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