Deputy First Minister Nicola Sturgeon is likely to be confirmed as the new SNP party leader later today.
Any member wishing to stand against Ms Sturgeon has until 4pm today to declare their intention to stand.
Sturgeon will replace Alex Salmond who announced he was stepping down in the wake of Scots rejecting independence in last month's referendum.
A third MSP has entered the contest to succeed Nicola Sturgeon as the Deputy leader of the SNP Party. It follows Alex Salmond's decision to step down from the top job.
Angela Constance announced today she would join Keith Brown and Stewart Hosie in the race for the role. The MSP for Almond Valley is standing on a platform of continuing the fight for Scottish independence.
Alex Salmond says Scotland is a "better nation" as a result of the independence referendum. The First Minister returned to Holyrood today for the first time since Scots voted to stay in the UK last week.
Party leaders all praised the way the debate was carried out across the country. But fighting continues over what new powers will go to the Scottish Parliament. This from our political reporter, Kathryn Samson.
Alex Salmond will return to Holyrood today for the first time since his bid for Scottish independence failed.
Mr Salmond, who has announced his intention to step down as First Minister, is expected to reflect on the independence referendum and put pressure on the victorious unionist parties to deliver on their devolution pledges in a statement to the Scottish Parliament.
Presiding Officer Tricia Marwick will open today's proceedings with "time for reflection", a Holyrood slot normally reserved for spiritual or philosophical contributions from religious or secular figureheads.
Mr Salmond's statement will be followed by two days of debate on the future of Scotland, with Labour leader Johann Lamont, Conservative leader Ruth Davidson and Liberal Democrat leader Willie Rennie expected to open with responses from the Scottish opposition parties.
Scotland voted against independence by a majority of 55% in the referendum on Thursday.
It is only a matter of time before Scotland becomes an independent nation, Alex Salmond has suggested.
The First Minister, who this week announced his intention to resign from his post, said the majority of younger Scots supported independence.
He told Sky News' Murnaghan programme: "When you have a situation where the majority of a country up to the age of 55 is already voting for independence, I think the writing's on the wall for Westminster."
"I think the destination is pretty certain, we're only now debating the timescale and the method," the SNP leader added.
The result of the Scottish independence referendum was a huge blow for the Yes campaign this morning, worsened by the announcement this afternoon that the man who made it all possible - Alex Salmond - will step down in November.
ITV Border's Political Editor Peter MacMahon was at the press conference where Salmond announced his exit from the top of the SNP leadership, and from his office as First Minister.
Alistair Darling has praised Alex Salmond for the "huge contribution he has made to public life in Scotland." The leader of the Better Together campaign was speaking after the Scottish First Minister made the announcement he will step down in November.
"Alex Salmond is a formidable political figure. He transformed the SNP into a party of government and delivered their referendum on independence which they had craved so long. "Today he has accepted Scotland's verdict, recognising that it is for others in his party to take the SNP forward. "He has rightly said that the referendum was a once-in-a-lifetime event and that we all need to work to bring Scotland together. "He can look back with pride on being the longest-serving First Minister and to the huge contribution he has made to public life in Scotland. I wish him well in the future."
Alex Salmond has announced his intention to end a 24-year career at the forefront of Scottish politics. Here is a brief look at his career.Read the full story ›
Ed Miliband called Alex Salmond "a formidable frontline politician" after Scotland's First Minister announced he was stepping down.
"Whatever our disagreements, he has always spoke his mind and he has always stood up for what he believed in," the Labour leader said.
David Mundell, the MP for Dumfriesshire, Clydesdale and Tweeddale has tweeted that Alex Salmond was a "consummate politician."
He also used the social media forum to tell his followers that he had predicted Salmond's exit earlier in the day.