Abstarct: Inverse Weibull (IW) distribution is one of the widely used probability distributions for non- negative data modelling, specifically, for describing degradation phenomena of mechanical com ponents. this distribution can not provide an appropriate fit for distributions with an increasing and upside down failure rate in reliability. In this payanname, with hazard function increasing, decreasing, upside down bathtub forms, we introduce a new lifetime distribution. new lifetime distribution is three parameters and by compounding IW and power series distributions. We pro- vide mathematical properties of this new distribution such as moments, estimation by maximum likelihood with censored data, inference for a large sample and the EM algorithm to determine the maximum likelihood estimates of the parameters. Finally, to show the flexibility of this type of distributions, we demonstrate applications of two real data sets.