This study analyzes the characteristics of 14,419 chronic renal failure patients treated with hemodialysis and time to first kidney transplantation in the State of Rio de Janeiro, Brazil, from 1998 to 2002. Survival analysis methods were used, such as the Kaplan-Meier non-parametric method and the semi-parametric method with the Cox proportional hazards model. Besides the survival model for transplantation, time to death was analyzed to compare the two models' estimates. During the period studied, only 6.3% of patients received transplants, 32.4% were referred for transplantation, and 6.3% were included on the waiting list. Odds of transplantation were greater for those who had been referred, those on the waiting list, and younger patients. Diabetes mellitus reduced the probability of conducting transplantation by 35%. All the estimates showed directions opposite to those obtained for the mortality survival model.