With the advantages of simple structure and fast training speed, broad learning system (BLS) has attracted attention in hyperspectral images (HSIs). However, BLS cannot make good use of the discriminative information contained in HSI, which limits the classification performance of BLS. In this paper, we propose a robust discriminative broad learning system (RDBLS). For the HSI classification, RDBLS introduces the total scatter matrix to construct a new loss function to participate in the training of BLS, and at the same time minimizes the feature distance within a class and maximizes the feature distance between classes, so as to improve the discriminative ability of BLS features. RDBLS inherits the advantages of the BLS, and to a certain extent, it solves the problem of insufficient learning in the limited HSI samples. The classification results of RDBLS are verified on three HSI datasets and are superior to other comparison methods.