He will also be fined $10,000 for what the Jaguars are calling "insubordination" this week, ESPN senior NFL analyst Chris Mortensen is reporting.
According to players, Peterson and coach Jack Del Rio had a confrontation Wednesday during a team meeting when the coach called out the linebacker for a muscle-flexing celebration after he made a sack as the team trailed Cincinnati by 18 last Sunday.
The 10-year veteran rejoined the Jaguars on Friday.
Voted a captain by teammates and clearly the defensive leader, Peterson leads the team with 85 tackles. But he hasn't been one of Del Rio's favorites, especially because Peterson ripped the franchise for not offering him a contract extension during the offseason.
Daryl Smith replaced him in the starting lineup.
Information from ESPN senior NFL analyst Chris Mortensen and The Associated Press was used in this report.