The Telegraph of Macon reports that the challenge is one of four in the state and could be the first to result in a judge's ruling.
The case involves Damon Jolly, who faces the murder charge in the killing of Bibb County Deputy Joseph Whitehead.
Before July 1, lists of potential jurors were created on the county level by jury commissioners. Now, the state creates a master list of potential jurors using driver's license and voting registration records.
Jolly's lawyers maintain in court documents that the new jury selection method underrepresents black people, women, young adults aged 18 to 30, Latinos and Asian-Americans.