Jones' suspension stems from his January arrest at a hotel in downtown Cincinnati. He allegedly pushed a security guard, poked him in the eye and refused to comply with law enforcement officers.
He had faced misdemeanor charges of assault, disorderly conduct and obstructing official business and a felony count of harassment with a bodily substance for allegedly spitting on a nurse in jail, but most of the charges were dropped at the request of a Cincinnati prosecutor, who said the incident was just "drunken foolishness."
Jones pleaded guilty in May to the obstruction charge. He was sentenced to two days in jail, which had already been served.
The NFL told Jones in a letter that it considered the "extensive video documentation of the tone, tenor and nature of your interactions with law enforcement at the site of your arrest, during transportation to the jail, and during the booking process." The league also said his actions reflected poorly on him, his family, the Bengals and the NFL.
"While it is our understanding that appropriate apologies have been publicly extended, they do not completely negate your behavior and admission of culpability for the underlying conduct," the NFL wrote.
In a statement, the Bengals said they had anticipated the suspension and were looking to move on.
"Our focus is on getting ready for the upcoming season," the Bengals said. "Adam will participate in training camp and we are counting on him to help our team when he returns from suspension."