Commonwealth Court Judge Patricia McCullough, elected as a Republican in 2009, had issued the order on Wednesday to halt certification of any remaining contests, including apparently contests for Congress.
It did not appear to affect the presidential contest since a day earlier, Gov. Tom Wolf, a Democrat, had certified Mr Biden as the winner of the presidential election in Pennsylvania.
Mr Wolf quickly appealed Ms McCullough’s decision to the state Supreme Court, saying there was no “conceivable justification” for it.
The lawsuit’s dismissal comes after Republicans have lost a flurry of legal challenges brought by the Trump campaign and its GOP allies filed in state and federal courts in Pennsylvania.
On Friday, a federal appeals court in Philadelphia roundly rejected the Trump campaign’s latest effort to challenge the state’s election results.
In that lawsuit, Trump’s campaign had complained that its observers had not been able to scrutinise mail-in ballots as they were being processed in two Democratic bastions, Philadelphia and Allegheny County, which is home to Pittsburgh.
Mr Trump’s lawyers vowed to appeal to the Supreme Court despite the judges’ assessment that the “campaign’s claims have no merit”.