Objectives: This study investigated alcohol use problems in first-time offenders of driving under the influence (DUI) in Taipei City and the risk factors for a high frequency of DUI. Methods: We conducted an anonymous survey for first-time DUI offenders who attended the mandatory educational program held by Taiwan Taipei District Prosecutors Office. Participants completed the following self-rated questionnaires: the Alcohol Use Disorder Identification Test for screening alcohol use disorder (AUD); the C-CAGE questionnaire for screening alcohol dependence (AD); and the Brief Symptom Rating Scale for screening psychological symptoms, alcohol drinking, and DUI variables. We defined a high frequency of DUI as occurrence of 2 or more DUI behaviors per month. Results: Among 597 participants, 52.3% and 34.4% had AUD and AD, respectively. Offenders with AUD or AD had higher risks of binge-drinking behavior, consuming a high alcohol concentration, and psychological and sleep problems. AUD, AD, and drinking at the workplace were potential risk factors for a high frequency of DUI. Notably, compared with offenders without AUD and AD, offenders with AUD and AD respectively had 5 and 2 times higher likelihoods of having a high frequency of DUI. Conclusions: AUD or its more severe form, AD, is relatively common in first-time DUI offenders. In particular, having AUD or AD is associated with an increased risk of a high frequency of DUI. Routine screening for alcohol use problems and ensuing intervention programs or referral to treatment are warranted for all DUI offenders to reduce the recidivism rate and alcohol-related harm.