Nicola Sturgeon has told Theresa May there is "no rational reason" to block the Scottish government's request for a fresh independence referendum in her official letter to the prime minister.
In a, Scotland voted 55 per cent to 45 per cent to remain in the UK.
The Scottish Parliament voted by 69 to 59 on Tuesday in favour of seeking permission for another referendum.
Scotland's devolved Parliament voted in favor of the referendum on March 28, but it still needs approval from the United Kingdom government to hold one.
"That is not an outcome that the people of Scotland voted for", she said.
"In these very changed circumstances, the people of Scotland must have the right to choose our own future, in short, to exercise our right of self-determination", Ms Sturgeon wrote.
"I am. writing to begin early discussions between our governments to agree an Order under section 30 of the Scotland Act 1998 that would enable a referendum to be legislated for by the Scottish Parliament", Sturgeon wrote in the letter.
Scotland is hoping to hold the vote between autumn 2018 and spring 2019 - however the British government is set to refuse permission.
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However, Scottish Secretary David Mundell has already said the UK Government would decline the request.
Scottish lawmakers have voted to seek a new referendum on independence, to be held within the next two years.
May's Downing Street office confirmed that the letter had been received.
She added: "The Prime Minister has indicated that she intends to ignore the will of the Scottish Parliament and prevent people in Scotland having that choice".
"The poll demonstrates people in Scotland continue to value the protections and rights offered by the European Union, particularly on key issues such as free trade and freedom of movement", a Scottish government spokesperson said.
"I hope that will be by constructive discussion between our governments", Sturgeon continued.
Whilst Scottish Government officials drafted several versions of the letter for their First Minister, Ms Sturgeon crafted the final version herself inside her private study on the upper floors of her official Bute House residence in Edinburgh.
But Jackson Carlaw MSP, the deputy leader of the Scottish Conservatives, said Sturgeon's proposal was both "unwanted and unworkable" until voters north of the border have a chance to see Brexit play out".