Travis, 53, received two years of probation, was fined 2,000 dollars and must spend at least 30 days at an alcohol treatment centre.
He entered the plea in a North Texas court. The misdemeanour offence was punishable by up to a year in jail and a 4,000-dollar fine.
Authorities say a Trans Am registered to Travis veered off a road near Tioga, a town about 60 miles north of Dallas, in August, where the 53-year-old singer lives. The car struck several construction-zone barricades.
Investigators say Travis was naked and belligerent and had a blood alcohol level of 0.21. The legal limit for driving is 0.08.