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Background: : Identifying talented people to donate has a major role in supplying healthy blood. If the time interval between donations decreases, the chances that volunteer of blood donation be a regular donor can increase. The aim of this study was to determine factors affecting the interval between blood donations in a sample of first-time blood donors.Methods: Data of a longitudinal study of 864 blood donors in Shahrekord Blood Transfusion Center were used. In survival analysis framework, considering the time intervals between blood donations, the recurrent events survival analysis was used. To identify the risk factors affecting the survival times of the intervals between blood donations, Cox model with shared gamma frailty was fitted to the data and estimate of the parameters obtained based on Bayesian approach using Markov Chain Monte Carlo algorithm by WinBUGS.Findings: Cox's shared frailty model was fitted to data better than the ordinary Cox's model. Among the variables of interest, the weight significantly increased the chance of donation and reduced the interval time between donations. The age decreased slightly the chance to donate, such that the donation was more likely for younger volunteers, and blood donation intervals was lower for them.Conclusion: Because of better fitting of Cox's shared frailty model, the correlation between the intervals of blood donation was confirmed. With increasing awareness and culture, people with the lower-weight and higher-age should be encouraged to donate more.Key Words: Blood Donation, Cox Model, Shared frailty effect, Bayesian Analysis, Markov Chain Monte Carlo 

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