Abstract: In this study, a statistical method was applied on the lifetime of electronic system contains 20 electronic unit, each unit include two electronic components having Lindley distributions in order to estimate the reliability and failure rate of the electronic system by using mixture Lindley distribution. The study dealt with the method of combining two Lindley distributions and produced the mixture Lindley distribution by including a mixing parameter which represents the proportions of the mixing of two components Lindley distributions. The maximum likelihood method was chose to estimate the values of the parameters for the mixture Lindley distribution. In addition the probability density function, cumulative distribution function, reliability function and failure rate of the mixture Lindley distribution were obtained. On the other hand, a numerical application was prepared to illustrate the implementation of mathematical procedures and obtain the required numerical results. Moreover this study enables the researchers and helps them to apply it in the field of their specialization .