To determine the highest and safest tolerated dose of MDX-1411 for the treatment of clear cell renal cell carcinoma (Kidney cancer).

Subjects will be assigned one dose upon enrollment and will continue with the same dose throughout the study. The maximum duration for the study is two and a half years for a total of 17 cycles.

Inclusion Criteria:

• Histologically confirmed diagnosis of RCC with clear cell component
• Measurable disease
• Treated with up to 6 prior systemic therapies for advanced/recurrent disease or have become intolerant to a systemic therapy
• Subjects with treated brain metastases must be without magnetic resonance imaging (MRI) evidence of progression for at least 8 weeks and off steroids for at least 4 weeks to be eligible
• At least 28 days since the last chemotherapy
• At least 28 days before the first dose of MDX 1411 since any major surgery
• ECOG performance status 0-2
• No known positivity for human immunodeficiency virus (HIV), Hep B or C

Exclusion Criteria:

• Previous treatment with any other anti-CD70 antibody
• Active infection requiring i.v systemic therapy within 28 days before first dose
• Evidence of bleeding diathesis or coagulopathy
• Active autoimmune disease requiring immunosuppressive therapy
• Known current drug or alcohol abuse
• Any underlying medical condition which will make the administration of MDX 1411 hazardous
• Psychiatric illness or social situation that would preclude study compliance