Reversible data hiding in encrypted domain (RDH-ED) is widely used in sensitive fields such as privacy protection and copyright authentication. However, the embedding capacity of existing methods is generally low due to the insufficient use of model topology. In order to improve the embedding capacity, this paper proposes a high-capacity multi-MSB predictive reversible data hiding in encrypted domain (MMPRDH-ED). Firstly, the 3D model is subdivided by triangular mesh subdivision (TMS) algorithm, and its vertices are divided into reference set and embedded set. Then, in order to make full use of the redundant space of embedded vertices, Multi-MSB prediction (MMP) and Multi-layer Embedding Strategy (MLES) are used to improve the capacity. Finally, stream encryption technology is used to encrypt the model and data to ensure data security. The experimental results show that compared with the existing methods, the embedding capacity of MMPRDH-ED is increased by 53 %, which has higher advantages.