The First Minister ruled out the suggestion while on her visit to the United States and called for the issue to be settled “politically”.
It comes after the Government said it would refuse any requests to hold an independence referendum after Mrs Sturgeon announced she hoped to hold one between Autumn 2018 and Spring 2019.
Mrs Sturgeon told the BBC: “I have no plans to go to court, I think it is absolutely essential that if the will of the Scottish Parliament is for a referendum then that should be respected.
Nicola Sturgeon insisted she did not want to go to court over another referendum
I don’t think there is any need nor is there any intention to see a matter that should be settled politically end up in the court
“I don’t think there is any need nor is there any intention to see a matter that should be settled politically end up in the court.”
The assurance comes following remarks she made during a talk at Stanford University.
Mrs Sturgeon said on Tuesday night the position of the UK Government isn’t sustainable, and the notion the referendum needed Mrs May’s permission “hadn’t been tested in court”.
In her speech at Stanford University, the First Minister told the audience she is seeking "legal consent from the Westminster government to legislate for an independence referendum, which at the moment they're saying they're not willing to give".
PM and Sturgeon feign smiles as they go to battle over referendum Wed, April 5, 2017
British Prime Minister Theresa May met Scottish First Minister Nicola Sturgeon in Glasgow, following the announcement that Scotland is to hold a second Independence Referendum
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British Prime Minister Theresa May meets Scottish First Minister Nicola Sturgeon in Glasgow, following the announcement that Scotland is to hold a second Independence Referendum
Theresa May told Nicola Sturgeon "now is not the time" for a referendum
She stated: "That is not a sustainable position, frankly, for the UK Government to take, it is a bit of a holding position just now.
"There will be another referendum on Scottish independence, of that I am fairly certain."
A spokesman for the First Minister maintained that Scottish leader had a “cast-iron democratic mandate” to hold a referendum after 62 per cent of Scots backed Remain.
He said: ”We agree with the Prime Minister that now is not the time for a vote, but if the UK Government's intention is to try and indefinitely block a referendum that would be utterly undemocratic and unsustainable.
"People across Scotland already disagree with that stance and public opinion is only likely to turn even more sharply against the PM the longer she tries to stick to that position."