EN
In the article the generalized Lambda-Tukey distribution was presented with the following four parameters of: location, scale, skewness and kurtosis. The distribution presented, due to its high flexibility is widely applied, especially when empirical distributions are sophisticated and do not show desired accordance with known classical theoretical distributions. The examples presented on the fitting of the DAX index distribution to the four parameter Tukey distribution turn out to be better than the ones for the beta distribution.