A pick-up truck registered to the singer was found flipped on its side and abandoned Saturday morning in a field behind a Walmart in Frisco, Texas, over 20 miles north of Dallas.
Travis' lawyer, Larry Friedman, told the Dallas Morning News that a ranch hand was using the truck when it was crashed and that Travis rarely uses the truck himself.
Saturday's incident is the singer's third run in with the law in as many weeks.
Last week, Travis allegedly got himself into a drunken brawl with the estranged husband of his girlfriend outside a church in Plano.
Just 2 weeks ago before that, he was found lying naked and smelling of alcohol on a remote stretch of roadway in northern Texas.
Plano Police Officer David Tilley told People magazine that officers were called to the church for "a domestic issue occurring between an estranged husband and wife."
Tilley told the magazine that things got ugly when Travis intervened in the argument, and a fight ensued.
Police cited Travis for a Class C simple assault -- a minor misdemeanor "similar to a traffic violation."
In February, the singer was arrested for public intoxication outside a church in Sanger, Texas after the Super Bowl.
Travis, who has sold more than 20 million records, has won seven Grammy Awards, 10 Academy of Country Music statuettes, 10 American Music Awards, seven Music City News awards, five Country Music Association honors and eight Dove Awards from the Gospel Music Association, according to his website.
Travis has a star on the Hollywood Walk of Fame and has been a member of the Grand Ole Opry since 1986, his website said.
Travis is now commemorating 25 years of making music with an Anniversary Celebration CD, which also features Country Music Hall of Fame members Willie Nelson and Kris Kristofferson; also on the CD are Kenny Chesney, Tim McGraw and Don Henley, among other stars, his website said.