A state trooper was trying to pull the man over for a traffic violation on May 24 in Camden.
Arkansas State Police said a pursuit ensued, reaching over 100 miles per hour.
The trooper said he did not know there were children in the car.
Police dashcam video shows Tyrice Fletcher lost control of the car, hit a light pole and flipped multiple times.
Police say they grabbed the baby from the road and found three more children in the car, all under the age of six.
All were treated for minor injuries; police said the mother was notified and responded to the hospital.
Fletcher, 28, was charged with felony fleeing, possession of a defaced firearm, four counts of endangering the welfare of a minor, possession of a controlled substance, reckless driving, no driver's license, among other charges.