A right truncated distribution called Right Truncated Frechet -Weibulldistribution with its mathematical forms of density, cumulative, survivaland reverse hazard functions were provided in this paper. Statisticalproperties such as moments, quantile function, mode and momentgenerating function were studied as well as obtaining special cases toother truncated distributions. Maximum likelihood method used toestimate parameters numerically for randomly generated dataset andreal-world data.