In order to implement the robust cluster analysis, solve the problem that the outliers in the data will have a serious disturbance to the probability density parameter estimation, and therefore affect the accuracy of clustering, a robust cluster analysis method is proposed which is based on the diversity self-paced t-mixture model. This model firstly adopts the t-distribution as the submodel which tail is easily controllable. On this basis, it utilizes the entropy penalty expectation conditional maximal algorithm as a pre-clustering step to estimate the initial parameters. After that,this model introduces l_(2,1)-norm as a self-paced regularization term and developes a new ECM optimization algorithm, in order to select high confidence samples from each component in training. Finally, experimental results on several real-world datasets in different noise environments show that the diversity self-paced t-mixture model outperforms the state-of-the-art clustering methods. It provides significant guidance for the construction of the robust mixture distribution model.