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The American Idol winner bought the gold and turquoise ring at auction last year for just over $228 000.
But on Thursday, Culture Minister Ed Vaizey put an export bar on the item until 30 September in the hope that a British buyer will come forward.
Vaizey said Austen's modest lifestyle and early death aged 41 "mean that objects associated with her of any kind are extremely rare, so I hope that a U.K. buyer comes forward so this simple but elegant ring can be saved for the nation".
The government has the power to temporarily halt the export of works judged to be national treasures.
The author of Pride and Prejudice left the ring to her sister Cassandra, and it remained in the family until it was sold last year.
The export ban can be extended until 30 December if there is a British campaign to buy the ring. Clarkson has agreed to sell the ring should a buyer come forward.
Clarkson has sold millions of records since winning the first series of TV talent show American Idol in 2002.
She told a British newspaper last year that as well as the ring she'd bought a first edition of Austen's novel Persuasion in the Sotheby's sale.
