The regions with newly organized meteorological observatory do not have sufficient amount of wind speed data for the extremal analysis, so it is difficult to estimate the Basic Wind Speed using the extremal analysis. Therefore, it is necessary to find a way how to estimate the Basic Wind Speed using the extremal analysis with a few amount of data. This study focuses on the estimation of the Bagic Wind Speed using the daily maximum wind speed data by utilizing the Davenport distribution based Bi-Weibull distribution.