Increases in carotid artery intima-media thickness (IMT) are correlated with increased risk of stroke and myocardial infarction. The purpose of this study is to assess if pomegranate juice will retard the carotid (IMT) progression rate in men and women who have one or more existing cardiovascular risk factors (current cigarette smoking, hypertension, low HDL-cholesterol, and/or high LDL-cholesterol) upon entrance into the study.