Latent heat thermal energy storage (LHTES) can mitigate the intermittency of solar power by allowing thermal energy to be stored and released as needed. LHTES systems contain phase change material (PCM) which melts and solidifies to store and release heat. Despite the high energy storage density of PCMs, most are hindered by their low thermal conductivity. Recent attention has been given to hybrid heat transfer enhancement techniques within PCMs. In this study, the effect of porous copper annular fins on charging and discharging of a LHTES system was investigated numerically. Three equal-dimensioned cases of ten annular fins were studied including solid and two porous cases with porosities of 90.91% and 97.20%. Simulations of a vertical shell-and-tube LHTES system were carried out with ANSYS Fluent using RT-55 PCM. The solid, 90.91% porosity, and 97.20% porosity fins had charging times of 11.89, 19.92, and 23.33 hours, respectively; for discharging, those same fins took 11.39, 19.50, and 27.28 hours, respectively.