Prior to intervention, patients undergo a transplant renal biopsy to: 1) confirm the presence of chronic renal allograft nephropathy and 2) quantify baseline mRNA levels for TGF-beta, PDGF, and selected cytokines and connective tissue components. Patients are randomized to 4 arms: Group 1 receives pravastatin placebo plus irbesartan placebo; Group 2 receives pravastatin plus irbesartan placebo; Group 3 receives pravastatin placebo plus irbesartan; and Group 4 receives pravastatin plus irbesartan. Pravastatin is administered at a dose of 20 mg/day. Irbesartan is initiated at 150 mg/day and is titred to 300 mg/day after 2 weeks. Patients are evaluated routinely for serum creatinine and potassium levels, blood pressure, and other markers of kidney function. In addition, they are monitored for toxicities and adverse events, particularly an early rise in serum creatinine or muscle enzyme changes. At Month 6, or when serum creatinine has risen above 5.0 mg/dl if that is earlier, a repeat transplant kidney biopsy is obtained to compare to baseline. Changes in chronic allograft nephropathy and cytokine mRNA levels are evaluated to determine any correlation between clinical effect and changes in activity of profibrotic pathways. Study endpoints are death or renal failure manifested by initiation of dialysis or retransplantation.