Based on the experimental result, Eulerian two-fluid model was used to investigate the cavity, pinning, flow streamlines, gas residence time and pressure distribution in a rectangular cross-flow moving bed. The results showed that the gas-solid two-phase flow was influenced by the end-effect. As the superficial gas velocity increased to about 0.19 and 0.31 m/s, the pinning and cavity appeared respectively. The cavity changed with time, while the pinning was virtually progressive. The shapes of both the cavity and pinning were determined greatly by the superficial gas velocity. The gas velocity distribution, cavity and pinning led to the pressure distribution profile in the shape of reverse C. The pressure drop ratio of the feed influencing zone to the gas-solid contact zone and discharge influencing zone was about 6:10:9. With increasing of the superficial gas velocity, the gas residence time decreased, both the cavity size and pressure drop increased, while the pinning thickness increased first and then remained almost unchanged. But the solids flux had little effect on the investigated parameters.