Rayleigh distribution is one of the well-known continuous distribution developed by Lord Rayleigh and J.W. Strutt (1880, 1919) used in modeling lifetime data. A reciprocal transformation of Rayleigh variable generates inverse Rayleigh distribution derived by Voda (1972) which is also being used in lifetime experiments. While keeping in mind the famous of Rayleigh and inverse Rayleigh distribution, we hereby proposed the discrete version of continuous inverse Rayleigh distribution by adopting the simple approach and presented as an appropriate lifetime model for discrete data. Non-monotonicity of the hazard function of discrete Inverse Rayleigh distribution is studied, suitability of the model in over dispersed data is highlighted with real lifetime data examples, basic mathematical properties, order statistics and characterization issues of the model are also presented.