This double blind placebo controlled study is designed to determine whether naltrexone can be used to help reduce cigarette use and craving for cigarettes. Eligible participants will receive 21mg transdermal nicotine as an outpatient. In addition, participants will receive one of three doses of naltrexone (25,50 or 100mg) or a placebo and brief counseling over the course of six weeks with follow-up appointments three, six, and twelve months after the beginning of treatment.