He was originally arrested in April and also charged with speeding and improper window tint, but those charges were dropped.
Fournette was ordered to pay a $303 fine by July 1.
The 24-year-old was initially pulled over for going 65 mph in a 45 mph zone. An unpaid speeding ticket from last November led to the suspended license, which remained his only official charge.
Head coach Doug Marrone didn't seem to mind the arrest too much when asked about it.
"I don't want to get into where I stand here and I'm trying to lessen anything, meaning that a law was broken," Marrone said in April, per DiRocco. "But at the same time, I don't want to get into, 'Oh my gosh, is that going to change my relationship?' or anything like that. We'll just see where we're at."
Fournette is coming off a disappointing season where he appeared in just eight games and finished with 439 rushing yards and five touchdowns. He missed significant time with hamstring and ankle injuries while also serving a one-game suspension for fighting.
The running back will hope for a bounce-back showing in 2019. He has two years remaining on his rookie deal and will have a $7.4 million cap hit next season, per Spotrac.