Inclusion Criteria:

• Subjects will be men and women between the ages of 18 years and older.
• Must meet at least three of the seven DSM IV diagnostic criteria for alcohol and cocaine dependence.
• Express a desire for treatment.
• Literacy in English and ability to read, understand, and complete the ratings scales and questionnaires accurately, follow instructions, and make use of the behavioral treatments are required.
• Prospective subjects must report cocaine use of at least once per month and alcohol consumption of ≥21 drinks/week and ≥14 drinks/week for men and women respectively, during the past 30 days
• At least one positive urine drug screen for cocaine within the two-week baseline prior to randomization with a minimum of four samples tested.

Exclusion Criteria:

• Individuals likely to require hospitalization for severe medical complications or surgery, or those whose severity of illness precludes utilization of the behavioral treatments.
• Women who are pregnant, breastfeeding, or unwilling to use effective birth control to prevent becoming pregnant during the study
• Certain physical or psychiatric conditions that would compromise participation
• Current dependence, defined by DSM-IV criteria, on any psychoactive substance other than cocaine, alcohol, nicotine, caffeine, or marijuana or physiological dependence on alcohol requiring medical detoxification.
• Mandated by court to obtain treatment for alcohol and/or cocaine dependence.
• Elevation of liver enzymes (SGOT), serum glutamic pyruvic transaminase (SGPT), blood urea nitrogen (BUN), or lactate dehydrogenase (LDH).
• Anyone who, in the opinion of the investigator, would not be expected to complete the study protocol because of probable incarceration or relocation from the clinic area.
• Severe or life-threatening adverse reactions to topiramate in the past or during this clinical trial.