In this paper, we introduce the inverse Weibull finite failure non- homogeneous Poisson process (NHPP) software reliability model which includes both increasing and decreasing nature of the hazard function. The increasing/decreasing behavior of the failure occurrence rate fault is taken into account by the hazard of inverse Weibull distribution. The model parameters are estimated using maximum likelihood method for interval domain data and numerical examples are provided to illustrate the estimation technique. The proposed model is compared with the standard existing models through error sum of squares, mean sum of squares, predictive ratio risk and Akaike’s information criteria using different data sets. The result showed that the proposed model performs satisfactorily better than the existing finite failure category models