According to TMZ Sports, Young said that he intends to take steps to ensure that a similar incident doesn't happen in the future: "I deeply apologize for letting my family, my friends and my fans down. ... With the help of God and my loved ones, I am going to take aggressive actions to make sure this never happens again. I take full responsibility for my actions."
TMZ Sports reported that Young was arrested early Monday morning in Fort Bend County, Texas.
The 35-year-old Young was one of college football's greatest-ever quarterbacks as a member of the Texas Longhorns before getting selected by the Tennessee Titans with the No. 3 overall pick in the 2006 NFL draft.
During his time at Texas, Young led the Longhorns to a win over favored USC in the 2006 BCS National Championship Game in a game widely regarded as one of the best in college football history.
In his five seasons with the Titans, Young was a two-time Pro Bowler and was named the 2006 NFL Offensive Rookie of the Year.
He later went on to play one season for the Philadelphia Eagles before spending preseason time with the Buffalo Bills, Green Bay Packers and Cleveland Browns.
Young also signed with the CFL's Saskatchewan Roughriders in 2017, but injury prevented him from appearing in a game.
In six NFL seasons, Young threw for 8,964 yards, 46 touchdowns and 51 interceptions while rushing for 1,459 yards and 12 scores.
It was announced in January that Young will be part of the 2019 College Football Hall of Fame class.