Use a model that is resistant to outliers. Tree-based models are not as affected by outliers as regression models. For statistical tests, choose non-parametric test instead of parametric test
Use a more robust error metric. For instance, use absolute mean difference instead of mean squared error to reduce the effect of outliers
Winsorize the data. Cap the data at a certain threshold
Transform the data. If the data has a pronounced right tail, use log transform
Remove the outliers. If there are very few of outliers and you are certain that they are anomalies not worth predicting
Reference: https://www.quora.com/What-are-methods-to-make-a-predictive-model-more-robust-to-outliers