In this paper, an intelligent optimization algorithm is used to optimize the design of a wide-band achromatic superlens. Firstly, the optical properties of silicon nanocrystals (SI nanocrystals) constructed on silica substrate are studied, and a database is constructed by scanning the radius of the unit structure through numerical simulation. Then, a hybrid algorithm of particle swarm optimization and genetic algorithm (PSO_GA) is used to find the optimal phase matrix in the phase database, that is, the optimal cell structure corresponding to each position. Finally, the superlens is constructed, and verified through simulation experiments that it can realize the focusing in infrared band (1000~1250 nm), and the achromatic effect is better than that of the superlens structure obtained by the traditional particle swarm optimization algorithm. Therefore, the design of this superlens provides a solution for the automatic design of planar optical devices.