The decision doesn’t say whether additional provisional ballots could be counted after election results are certified at the county level Tuesday.

"This ruling is a victory for the voters of Georgia because we are all stronger when every eligible voter is allowed to participate in our elections," said Sara Henderson, executive director for Common Cause Georgia, which filed the lawsuit.

The Secretary of State’s Office is reviewing the judge’s order and considering its options, said spokeswoman Candice Broce.

Several voters told the judge in sworn statements that they thought they were registered but were turned away when they tried to vote. Only after repeated efforts were they given provisional ballots, and they said they still don’t know if their votes were counted.

The court order said there were more provisional ballots cast this election than normal, and that the voter registration system could be vulnerable to inaccuracies.

“The right to vote is fundamental, and no one should lose that right because of mistakes in the voter registration database,” said Myrna Perez of the democracy program at the Brennan Center for Justice.

— Staff writer Greg Bluestein contributed to this article.