Evaluate efficacy and safety up to 36 months of titrated dose treatment with BAY85-3934 versus epoetin alfa/beta. Titration will be based on the subject's hemoglobin (Hb) response and tolerability of the prior dose. Planned doses include 15, 25, 50, 75, 100,and 150 mg once daily.

Inclusion Criteria:

• Eligible male or female subjects were previously enrolled in Study 16208, have a diagnosis of anemia associated with CKD, and are on hemodialysis.
• Men who agree to use adequate contraception when sexually active or women without childbearing potential
• Participation and completion of treatment in Study 16208; subjects must have received 16 weeks of study medication and completed the end of treatment visit (Day 113) in the parent study
• Mean Hb concentration of 9.5 to 11.5 g/dL, inclusive, during the evaluation period (i.e., the last 4 weeks of the parent study) when the subject completed 16 weeks of treatment with BAY85-3934, epoetin alfa, or epoetin beta in Study 16208

Exclusion Criteria:

• A scheduled kidney transplant or any other organ transplant within the next 6 months (being on a waiting list does not exclude the subject)
• Updates to medical and surgical history which meet the exclusion criteria in the parent study
• Subjects treated with immunosuppressive therapy and the breast cancer resistant protein (BCRP) substrates, irinotecan, topotecan, methotrexate, imatinib, and lapatinib
• Sustained, poorly controlled arterial hypertension or hypotension at baseline, defined as mean BP ≥ 180/110 mmHg or systolic BP < 95 mmHg, respectively
• Severe rhythm or conduction disorder (e.g., HR < 50 or > 110 bpm, atrial fibrillation or flutter, prolonged QT > 500 msec, second or third degree atrioventricular [AV] block)
• New York Heart Association Class III or IV congestive heart failure
• Severe hepatic insufficiency (defined as alanine aminotransferase [ALT], aspartate aminotransferase [AST], or gamma-glutamyl transferase > 3 x the upper limit of norma [ULN], total bilirubin > 2 mg/dL, or Child-Pugh B or C) or active hepatitis in the investigator's opinion
• An ongoing SAE from Study 16208 that is assessed as related to study drug
• Alcohol or drug abuse