A Georgia State patrolman pulled over Evans at about 11:55 p.m. Wednesday on Roswell Road in his 2009 BMW for failure to maintain a lane, officials said.
Police said the trooper performed a field sobriety test and determined that Evans was "less safe to operate a vehicle." He was arrested and charged with drunken driving.
According to the police report, Evans told the state trooper: "I am not trying to bribe you, but I am the Athletic Director of the University of Georgia."
Evans also told the trooper that he had been drinking several martinis, according to the report. The trooper said he noticed that Evans' eyes were "red, bloodshot."
The report also stated that when the trooper asked Evans for his driver's license, Evans fumbled through some cards and dropped several items before handing over his license. The trooper said he "then noticed that Evans had a pair of red lady's panties between his legs."
A woman, identified as Courtney Fuhrmann, 28, was also in the vehicle with Evans. She was charged with disorderly conduct, according to GSP officials.
When asked what the woman's panties were doing in his seat, Evans told the trooper: "She took them off ... I held them because I was trying to get her home."
Once again, the trooper said Evans told him: "I don't want to use who I am, but I would just ask that you take me to a motel." The report said Evans later repeated: "I am not trying to bribe you, but is there anything you can do without arresting me?"
Officials said Evans was taken to Atlanta City Jail where, GSP authorities said, he refused to take a Breathalyzer.
During a press conference Thursday, Evans said: "I'm very ashamed and embarrassed by my actions."
UGA President Michael Adams was notified of Evans' arrest while on vacation. Adams named Evans to succeed Vince Dooley as athletic director in 2004. Evans played football at UGA from 1988 to 1992. He now oversees a staff of 260.
Adams released a statement to reporters Thursday which read in part: "Drinking and driving is a serious matter."
Evans also apologized to his wife and kids during the press conference.
When asked how long Fuhrmann had been seeing Evans, the report said Fuhrmann told the trooper: "Only a week or so."