A radial-flow, spherical-bed reactor concept for methanol synthesis in the presence of catalyst deactivation has been proposed. This reactor coil figuration visualizes the concentration and temperature distribution inside a radial-flow packed bed with a novel design for improving reactor performance with lower pressure drop. The dynamic simulation of spherical multi-stage reactors has been studied in the presence of long-term catalyst deactivation. Model equations were solved by the orthogonal collocation method. The performance of the spherical multi-stage reactors was compared with a conventional single-type tubular reactor. The results show that for this case stud), and with similar reactor specifications and operating conditions, the two-stage spherical reactor is better than other alternatives such as single-stage spherical, three-stage spherical and conventional tubular reactors. By increasing the number of stages of a spherical reactor, one increases the quality of production and decreases the quantity of production.