To solve the problem of insufficient non-linear fitting that may exist in the inversion of geo-stress field using the multiple linear regression method, a mathematical model based on the extreme gradient boosting (XGBoost) algorithm is introduced, which can correct the inversion results of the multiple linear regression, and a more accurate initial geo-stress field can be obtained. Application to actual engineering cases show that, through the comparison and analysis of the corrected inversion value and the measured value of the ground stress measuring points, the fitting error of the test set is reduced by about 60%, and the stability is high, which effectively improves the accuracy of the inversion results.