Young received the citation after getting into a fight at a Dallas strip club and leaving before authorities arrived early Sunday, police said.
ESPN.com reports that Young apologized to fans, coaches and teammates and hoped that NFL Commissioner Roger Goddell didn't come down too hard on him.
"I just made a mistake, I made a mistake even being there and I let that guy provoke me into doing what I did," Young said. "... I pray to God that Roger Goodell doesn't come down hard on me, because I definitely want to be here for my teammates."
Surveillance video footage released by police showed the former University of Texas star and several people talking in a small room and one man giving a disrespectful upside-down Texas Longhorns sign shortly before the altercation. Young said Monday there was more going on than what can be seen in the video.
Young wasn't at Club Onyx when police responded to a call about the fight, said Dallas police Lt. Andy Harvey.
Harvey said an investigation led to Young receiving a Class C assault citation, punishable by a fine up to $500.
Titans spokesman Robbie Bohren said the team was aware of the incident and had contacted Young. He said the team was still gathering information. NFL spokesman Greg Aiello said in a tweet that the league "will look into it."
Titans coach Jeff Fisher was holding his annual charity softball game Sunday night in Nashville. Young was not on the early list of players committed to appear in the game.
The Titans resume on-field sessions Monday.
Young, the No. 3 pick overall in 2006, got his starting job back last fall when Tennessee started 0-6 and owner Bud Adams put him back in the lineup. He helped the Titans win eight of their final 10 and heads into his fifth NFL season with a 26-13 record as a starter.
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