In this paper, we have presented a discrete version of Modified Inverse Rayleigh Distribution. We proposed Discrete Modified Inverse Rayleigh distribution. We have derived the reliability properties including survival function, residual reliability function hazard rate function, second rate of failure along with their graphical portray. Further distributional properties like quantile function, skewness, kurtosis, mean deviation and the distribution of order statistics of the proposed distribution are also presented. The estimation of parameters has been done by method of proportion, maximum likelihood method and method of moments. A simulation study has been conducted by these methods for different sample sizes. The suitability is shown by applying the new model on the real data sets. Goodness of the new model on over-dispersed data set is also shown.