Title: Selective Classifier Ensemble. Abstract: Selective classification allows a machine learning model to abstain on some hard inputs and thus improve the safety of its predictions. In this paper, we study the ensemble of selective classifiers, i.e. selective classifier ensemble, which combines several weak selective classifiers to obtain a more powerful model. We prove that under some assumptions, the ensemble has a lower selective risk than the individual model under a range of coverage. This is nontrivial since the selective risk is a non-convex function of the model prediction. The assumptions and the theoretical result are supported by systematic experiments on both computer vision and natural language processing tasks. A surprising empirical result is that a simple selective classifier ensemble, namely, the ensemble model with maximum probability as confidence, is the state-of-the-art selective classifier. For instance, on CIFAR-10, using the same VGG-16 backbone model, this ensemble reduces the AURC (Area Under Risk-Coverage Curve) by about 24%, relative to the previous state-of-the-art method.