Abstract: Combining experiments with numerical simulation, the flame propagation in two vessels was investigated during maize starch dust explosion, where the two vessels were interconnected with a pipeline. The explosion was ignited in one of vessels, then the flame propagated to the other one. The two-phase flow during explosion was modeled by the Eulerian-Lagrangian approach, where the well-known k-Ε model was introduced to simulate the turbulence of the gas phase with the EBU-Arrhenius model introduced to simulate the gas turbulent combustion. Such factors as the water vaporization, decomposition of volatile matters and the reactions of gas phases and reactions on particles' surfaces were all taken into account in the particles' combustion model. The operator split method and FCT algorithm were used to solve the mathematical models. Simulation showed the acceleration behavior of flame propagation, and the calculated results were proved well in conformity with measured ones. It means that the developed model is valuable for investigating the flame propagation mechanisms during dust explosion.