The article describes a new method of threshold satellite image, based on the optimization multi-objective for segmentation of Worldview images and funded on the Tsallis and the Rényi entropies, allowing the evolution of the satellite image classification. Owing to the goal of achieving a large classifying all unclassified pixels by the previous method in 2017 in our research laboratory. An improved analysis and a multi-objective optimized thresholding method was proposed. Firstly, we are calculate the optimal thresholds with respect to the criteria retained such as the Tsallis criterion and the Rényi criterion. Lastly, we are challenging the performance of our method to that developed previously in 2017. The new method effectiveness evaluation confirmed by the calculation of the evaluation criterion related on both the Levine and Nazif criterion and the Mean Squared Error criterion. The results obtained by our approach were very satisfactory. It was been shown that the method overcomes the difficulties of the method previously developed in 2017 and obtained results that are more precise. In particular, for synthetic images, the segmentation accuracy increases by 81.16% and for the satellite images, the segmentation also improves enormously, and the accuracy of the overall classification of Worldview images increases by 97.21%. Therefore, the new method based on multi-objective optimization contribute significantly to performance.