Jones pleaded no contest to a marijuana-related charge in February, stemming from a traffic stop on Oct. 1 of last year.
He entered a no-contest plea to the citation for driving with a controlled substance in his system in exchange for dismissal of tickets for speeding and operating without a license.
This won't Define Me🙏🏾🧀 pic.twitter.com/b7mnhGf6wX— Aaron Jones 3️⃣3️⃣ (@Showtyme_33) July 3, 2018
Jones was the team's second-leading rusher in 2017, his rookie season, with 448 yards. He also rushed for four touchdowns.
He will be eligible to return to the team's active roster on Sept. 17 after the Packers' Week 2 game against the Minnesota Vikings.
The 5-foot-9 Jones set out to bulk up this season in an effort to become more durable. He sustained a pair of MCL injuries -- one to each knee -- that limited him to 12 games last season.
ESPN's Rob Demovsky contributed to this report.