SNP leader Nicola Sturgeon has confirmed she will not seek to form a coalition with another party.
The SNP (Scottish National Party) fell two seats short of an overall majority - winning 63 of 129 seats available - but with such a "large group of MSPs elected", Ms Sturgeon said she saw no need to seek a "formal arrangement".
Instead, she said, when the Scottish Parliament reconvenes in the coming days, she would ask them to formally re-elect her as First Minister, and she will then form a minority SNP government.
"We won a clear and unequivocal mandate, and I secured the personal mandate I sought to implement the bold and ambitious programme for government that I asked the country to vote for," she said.
On the question of independence, she added, the SNP would make their case " with passion, with patience and with respect", saying their aim was to "persuade, not to divide".
We will always respect the opinion of the people - now and in the future - and we simply ask that other parties do likewise.
To those who voted for me yesterday, thank you from the bottom of my heart. You have given me a precious opportunity to change this country for the better and I promise to seize it with both hands.
To those who did not vote for me, I promise I will never stop striving to earn your trust and support.
She said she had a "duty" to "rise above party politics", and to govern in the best interests of all of the country as a whole.
21-year-old Ross Greer has been elected as the youngest-ever Member of the Scottish Parliament (MSP), representing the Green Party.
Labour is facing a disastrous election night in Scotland, with the party in danger of finishing third behind the SNP and the Conservatives.