This paper aims to introduce thermal energy storage technology into a solar-powered dual-packed bed desalination system. By prehesdating and reserving seawater during the daytime and utilizing it at night, the integrated desalination system with innovative configuration can achieve freshwater and electricity combined generation and particularly realize the continuous operations for water production. The detailed mathematical model is established, and the corresponding parametric analyses are executed with various operating situations. The simulation results show that with the rise of top temperature, the performance indicators of the system, gained-output-ratio (GOR), and water productivity, reach the maximum value at the MFRR corresponding to the balance condition of dehumidifier, while the power generation of photovoltaic/thermal (PV/T) reaches minimum value under different incident conditions. It is summarized that the balance condition also represents the upper limit of air compensation capability and the “turning point” of air temperature, which can be enhanced by raising the top temperature of the system. Furthermore, the integrated system outperforms other HDH configurations in prior research, demonstrating the feasibility and superiority of the present continuous water-producing HDH system supported by thermal energy storage.