A grand jury voted to charge Mr Trump and 18 others with counts that include racketeering.
There are 41 charges, with 13 against Mr Trump. It is the fourth time he has been criminally charged this year.
He has denied all charges. His campaign said the US had become “a Marxist Third World dictatorship”.
Fulton County District Attorney Fani Willis launched an investigation in February 2021 into allegations of election meddling against Mr Trump and his associates.
After the indictment was issued on Monday night, she announced she was giving defendants the opportunity to voluntarily surrender no later than noon on Friday, August 25. She said she plans to try all 19 accused together.
The list of alleged co-conspirators includes former Trump lawyer Rudy Giuliani, former White House chief of staff Mark Meadows, and former White House lawyer John Eastman.
Others include a former Justice Department official, Jeffrey Clark, and Sidney Powell and Jenna Ellis, two Trump lawyers who amplified unfounded claims of widespread voter fraud. BBC