The suit filed in the U.S. District Court in Atlanta wants to stop the state's attempts to verify the identities and citizenship of registered voters. U.S. District Judge Jack Camp has scheduled a 10 a.m. hearing Friday on a request for a temporary restraining order.
Attorneys for Jose Morales, of Cherokee County, want the suit to become a class action.
The lawsuit comes the day after the U.S. Department of Justice said the state's action to verify citizenship using Social Security numbers violates the Voting Rights Act of 1965.
Handel issued a statement Thursday saying she is "disappointed" with the lawsuit.