ABSTRACT: Inverse Weibull-Geometric Distribution which generalizes the Inverse Exponential-Geometric distribution, Inverse Weibull distribution, Inverse Exponential distribution and Inverse Rayleigh distribution has been introduced in this paper. The model can be considered as another useful 3-parameter distribution. Model characterization is studied, we derive the cumulative distribution and hazard functions, the density of the order statistics and calculate expressions for its moments and for the moments of the order statistics. Mixture model of two Inverse Weibull-Geometric distributions is investigated. Estimates of parameters using method of maximum likelihood have been obtained through simulations. Two real life example are provided one for complete data another for censored data to show the flexibility and potentiality of the proposed distribution and comparison with Inverse Weibull distribution, Inverse Exponential Geometric distribution, Inverse Exponential distribution and Inverse Rayleigh distribution is also discussed. The proposed model compares well with other competing models to fit the data.