The development of a biometric systems is undoubtedly on the rise in the number and the application areas. Modeling of system reliability and system data analysis after failure and the time of re-establishing the operating regime is of crucial importance for users of the system and also for producers of certain components. Approaches for reliability analysis of biometric systems are subject to a review of numerous scientific papers. Most of them consider issues of reliability of component software applications. System reliability, considering hardware ,software and user influence, is of crucial importance for users and for manufacturers of biometric systems.

 In this paper, the authors analyzed a mathematical model to predict the reliability of biometric systems, regarding the dependence of components with exponential distribution of failure probability.