That outcome was expected after hand ballot recount on Thursday confirmed the victory of Biden, the Democratic former vice president.
"I believe that the numbers that we have presented today are correct," said Secretary of State Brad Raffensperger earlier Friday.
"The numbers reflect the will of the people," said Raffensperger, who like Trump is a Republican.
Biden won 49.5% of Georgia's votes, compared to 49.3% for Trump, according to the current official tallies. The margin of victory for Biden was almost exactly 12,000 votes.
Trump has refused to concede that Biden defeated him in the national popular vote total, and that Biden has secured more than enough votes in the Electoral College to win the White House.
Georgia would give Biden 16 electoral votes. Biden currently is projected to receive 306 electoral votes, 36 more than he needs.
Trump's campaign has until the close of business on Tuesday to seek a machine recount of the ballots cast in the Peach State.
Raffensperger's office sent out a news release earlier Friday incorrectly stating that he had already certified the results. The office later sent out a press release saying he "will certify" the results Friday. And then later in the day it sent a third notice saying that the certification had been done.
This story has been updated to reflect the correction and final certification notice issued by the office of Georgia's secretary of state.