"I take all accountability for what I did and my actions," Jones said, on the day Bengals players were required to report for training camp. "I accept it, the one-game suspension. I'm ready to move on. I'm happy to be here."
Jones, who will miss the Bengals' season opener on Sept. 10 against Baltimore, pled guilty to a misdemeanor charge stemming from an incident outside a Cincinnati hotel in January in which he threatened police and allegedly spit on a jail nurse.
"Your post-arrest words and actions reflected poorly on you and your family, the Cincinnati Bengals football club, and the NFL," the league wrote in a statement announcing the suspension.
The 33-year-old Jones has a history of misconduct dating to his suspension during the 2007 and 2008 seasons due to a series of arrests and violations.
During the annual pre-training camp media luncheon on Tuesday, Bengals president and owner Mike Brown stood by his decision not to institute further disciplinary action against Jones.
"Adam Jones is a good person if you know him," Brown told reporters. "I like him personally. I admire his energy, I admire his courage, I admire a lot of things about him. He didn't come up the easy way, believe me."
Jones had 66 tackles and an interception in 16 games last season, his 11th in the NFL. Jones said he's in his best physical shape in years and said he'd like to play four more seasons in the NFL.
On Thursday, Jones said Brown's support will serve as motivation for him, with the Bengals coming off a disappointing 6-9-1 season in which they missed the playoffs for the first time in six years.
"The respect and the love that I have for Mr. Brown is undeniable," Jones said. "Words can't express the gratitude I feel about him. I haven't been around a guy like that in my lifetime. I'm very eager to lead by example and help these young guys get better."