The 61-year-old was pulled over on Tuesday in Lebanon, Tennessee after police spotted Williams swerving between lanes.
Officers noticed she smelled of alcohol and was slurring her speech and she was asked to complete a field sobriety test, which she subsequently failed.
She was taken into custody and booked for DUI, while she was also given citations for not wearing a seat belt and not carrying proof of insurance.
She was released on $US1000 ($A1,118) bail.
Williams was born just five days after her famous father passed away in 1953 from heart failure exacerbated by prescription pills and alcohol.
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