The hypothesis of this study is that lymphocyte depletion by Campath-1H and rituximab will obviate the need for long-term calcineurin inhibitors in renal transplantation. Most successful strategies to date have relied on the use of either tacrolimus or cyclosporine for an indefinite period of time. However, the advantage of a long term, calcineurin inhibitor free regimen may include improved renal allograft function, a lower incidence of hypertension, diabetes, and less drug related side effects. This is a non-randomized open-label pilot trial in 30 adult renal transplant patients. Subjects will receive 2 doses of Campath-1H (30mg given on Day 0 and Day 1) and a single dose of Rituximab (375mg/m2) on Day 0, given intra-operative. Subjects will take maintenance doses of prednisone and enteric coated mycophenolate sodium (Myfortic™). Subject will also be given cyclosporine (Neoral®) therapy for approximately 2 weeks (10-20 days).