Abstract In this article, we propose a novel cloth simulation method based on the material point method (abbr. MPM). The response to the cloth strain is characterized by three separated models: the continuous in‐plane hyperelasticity, the discrete bending elastoplasticity, and the continuous frictional contact elastoplasticity. We make use of the moving least squares MPM (abbr. MLS‐MPM) transfer scheme and a discrete bending model to reduce computation overhead. We further extend the hyperelastic bending model to be elastoplastic, which can be further used for the simulation of a wide range of thin shell materials, such as thin metal sheets. A fast and approximate signed distance field generation method for humanoid animation is also proposed. Experimental results demonstrate that our method can efficiently and robustly simulate high‐resolution challenging scenes with hundreds of thousands of triangles.