The invention provides a process for continuously producing succinic anhydride through hydrogenation of maleic anhydride, which comprises the following steps of: shunting solution of maleic anhydride in a split ratio of 1/5-1/2 after hydrogenation is performed on the solution of maleic anhydride through a trickle bed reactor; rectifying partial shunted reaction liquid into a rectifying tower to obtain finished products succinic anhydride and a solvent, and recycling the solvent; mixing the other liquid with the solution of maleic anhydride; and returning to the reactor after eliminating heat through a heat exchanger. The process successfully solves the problem of exothermic effect in the process of preparing the succinic anhydride through the hydrogenation of the maleic anhydride, meanwhile realizes continuous production of the succinic anhydride, and greatly improves the production capacity of the succinic anhydride with above 97.5 percent of the yield of the succinic anhydride; the process has the advantages of simple flow, high utilization rate of devices and good quality of products; the solvent can be recycled, and the operation cost is low; and the process is suitable for clean production and has good environmental benefit.