The mother said the encounter has terrified their family.
"She was shook up until this morning. She didn't sleep well last night," the woman said.
The mother said her daughter was walking to their neighborhood bus stop Monday morning around 8 a.m.
The girl told her mom the man parked in a late model black truck on Riverside Walk and turned on the hazard lights.
As she crossed the road and was walking toward the bus stop, he slowly started to drive up behind her," the mother said.
The woman said her daughter ignored the man until he drove away.
"The child did right and didn't go with the person, and notified the bus driver," said Cpl. Wilbert Rundles with the Gwinnett County Police Department.
Gwinnett police told WSB that they responded but were not able to find the vehicle.
Four miles away in Buford, there was another incident about 45 minutes after the 9-year-old was approached.
A mother off Little Mill told neighbors a man in a similar vehicle approached her middle school age daughter.
"Now we'd prefer not to let our kids out in the front yard without being out here and we live in a great area," neighbor Chris Colsson said.
Police said they're hopeful more people can come forward to provide a more detailed description of the man. So far, he's described as an older white man driving a late model black truck.