The purpose of this study is to evaluate the efficacy and toxicity of irinotecan in the treatment of women with recurrent epithelial ovarian cancer or primary peritoneal cancer when combined with bevacizumab. In this phase II open-label study patients will be treated with bevacizumab 15 mg/kg and irinotecan 175mg/m^2 every 3 weeks. Patients will undergo pre-treatment evaluation within 4 weeks of enrolling into the study. Clinical and laboratory evaluation will be performed every 3 weeks. Imaging studies and CA-125 measurements will be used to assess response to treatment.