Stable learning aims to leverage the knowledge obtained only from a single training data to learn a robust prediction model for accurately predicting label of the test data from a different but related distribution. To achieve promising performance on the test data with agnostic distributions, existing stable learning algorithms focus on eliminating the spurious correlations between the features and the class variable. However, these algorithms can only weaken part of the spurious correlations between the features and the class variable, but can not completely eliminate the spurious correlations. Furthermore, these algorithms may encounter the overfitting problem in learning the prediction model. To tackle these issues, this study proposes a sample reweighting and dual classifiers based stable learning algorithm, which jointly optimizes the weights of samples and the parameters of dual classifiers to learn a robust prediction model. Specifically, to estimate the effects of all features on classification, the proposed algorithm balances the distribution of confunders by learning global sample weights to remove the spurious correlations between the features and the class variable. In order to eliminate the spurious correlations between some irrelevant features and the class variable and weaken the influence of irrelevant features on the weighting process of samples, the proposed algorithm selects and removes some irrelevant features before sample reweighting. To further improve the generalization ability of the model, the algorithm constructs two classifiers and learns a prediction model with an optimal hyperplane by minimizing the parameter difference between the two classifiers during learning the prediction model. Using synthetic and real-world datasets, the experiments have validated the effectiveness of the proposed algorithm.