Disassembly line design for end-of-life (EOL) products is a key issue in the remanufacturing. Most existing studies for disassembly line balancing focus on single product. This work study a new multi-product disassembly line balancing problem with simultaneously considering identical parts and stochastic task times. For the studied problem, a joint chance-constrained model is formulated. Then the proposed model is transformed into a distribution-free one, and some valid inequalities are proposed to improve the model. An enhanced cut-and-solve algorithm is developed to solve the problem. Experiments results show the efficiency of the proposed method.