This phase I clinical trial will evaluate the safety and efficacy of intra-coronary injection of AC133 selected autologous marrow-derived stem cells in patients with chronic coronary artery occlusion. A clinical study to determine the therapeutic potential of marrow-derived stem cells as an adjunct therapy to current standard therapies for CAD is warranted. The current initiative is to investigate a model of chronic myocardial ischemia and (1) to determine whether intra-coronary injection of selected autologous marrow-derived AC133 stem cells is reasonably safe for use in humans and (2) if this treatment shows any improvement in coronary perfusion, as assessed using non-invasive imaging. This study is structured to evaluate the feasibility and safety of autologous AC133+ bone marrow-derived stem cell via intra-coronary injection into documented ischemic but viable myocardial zones via established collateral vessels. The epicardial vessel that normally supplies the ischemic zone must be 100% chronically occluded and considered non-revascularizable by percutaneous means.