The Democratic challenger now has 253 of the 270 Electoral College votes needed to clinch the White House under the state-by-state US voting system.
Biden also leads vote counts in the battlegrounds of Georgia, Nevada, Pennsylvania and Arizona.
A Biden win would see Trump leave office in January after four years.
"We're going to win this race," Biden told supporters in Wilmington, Delaware, on Friday night, striking an increasingly confident tone as vote tallies showed his lead extending, BBC reported.
He was joined by his running mate, California Senator Kamala Harris.
He said he was on track to win more than 300 Electoral College votes and pointed out that more people had voted for his campaign - over 74 million people - than any US presidential candidate in history.
Biden said Americans had given him mandate to tackle the coronavirus pandemic, the struggling economy, climate change and systemic racism.
The Democrat - presenting himself as the candidate of unity after a bitterly fought campaign - said it was time to "get the vitriol out of our politics" and "be civil to one another".
MR/PR
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