Greitens allegedly illegally used the donor list for the veterans charity he founded, The Mission Continues, to raise millions for his 2016 campaign.
Greitens is already facing a felony invasion of privacy charge.
The latest charge comes following an investigation by the attorney general's office.
The information has also been shared with the House Committee investigating Greitens for possible impeachment charges.
Hawley said his office would cooperate with the City Attorney and the House Committee helping in any way it can.
The attorney general said his office is still investigating Greitens' dealjngs with The Mission Continues.