In 2016, Mr McConnell refused to hold a vote to confirm a nominee put forward by then-President Barack Obama, arguing justices should not be approved in an election year. But this year, Mr McConnell says things are different, with the same party holding both the Senate and the White House.
We asked voters from across the US what they think should happen next, what this means for November's election, and what they feel will be Ruth Bader Ginsburg's legacy.
The US Supreme Court has long been a key consideration for voters - but now, with the death of liberal icon Justice Ruth Bader Ginsburg, it's taking centre stage for many. Senate majority leader Mitch McConnell has vowed to hold a confirmation vote on President Donald Trump's nominee to fill Ginsburg's seat before the election in November - a move Democrats have strongly opposed.
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