The NFL star will avoid a jail sentence after reaching a plea agreement with a court in Texas.
Adrian Peterson, who used a wooden implement to discipline his son in the Texas town of Spring in May, was put on probation and fined $4,000.
The player has been on paid leave pending resolution of the case.
He had been facing a possible two years in prison but the judge in Conroe, 40 miles north of Houston, accepted the plea agreement.
Adrian Peterson will also do 80 hours of community service.
He was said to have punished his son after the boy pushed another of his children off a motorbike video game.
The “whooping” – how Adrian Peterson allegedly referred to the incident in a police interview – resulted in cuts and bruises to the boy’s back, buttocks and legs, local media reported.
Adrian Peterson’s defense attorney Rusty Hardin earlier described his client as a “loving father” who had “used the same kind of discipline with his child that he experienced as a child growing up in east Texas”.
“It is important to remember that Adrian never intended to harm his son and deeply regrets the unintentional injury,” Rusty Hardin said.
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