Randy Travis has an explanation for why he was stumbling drunk in front of a church -- he had just gotten in a fight with his girlfriend.
According to the police report, obtained by TMZ, cops observed Randy sitting in a black car with no lights on just after midnight Monday. When they approached the vehicle, they couldn't help but notice Randy reeked of booze.
The arresting officer says Randy tried to explain the fight with his girlfriend ... but "Mr. Travis' speech was slurred and I was beginning to have a hard time understanding what he was saying."
Randy made an awkward stumbling exit from the vehicle -- as most drunk people do, and that's when the officer hooked him up and placed him under arrest for public intoxication.
Cops say they poured out the rest of the booze -- and towed Randy's car from the scene.
Travis was cited ... and released a short time later.
11:57 AM PST -- Travis has just released a statement ... saying, "I apologize for what resulted following an evening of celebrating the Super Bowl."
He adds, "I'm committed to being responsible and accountable, and apologize for my actions."