In this research paper The Beta Extreme Value Type (III) distribution which is developed by Zafar and Aleem (2007) is considered and parameters are estimated by using moments of the Beta-Extreme Value (Type III) Distribution when the parameters ‘m’ & ‘n’ are real and moments of the Beta-Extreme Value (Type III) Distribution when the parameters ‘m’ & ‘n’ are integers and then a Comparison between rth moments about origin when parameters are ‘m’ & ‘n’ are real and when parameters are ‘m’ & ‘n’ are integers. At the end second method, method of Maximum Likelihood is used to estimate the unknown parameters of the Beta Extreme Value Type (III) distribution.