It is commonly known that phase change materials (PCMs) are compounds that store energy, primarily owing to their latent heat storage potential. The present experimental work investigates the melting characteristics of the PCM by incorporating the copper grid in an enclosure. This work's primary goal is to enhance the thermal conductivity of the proposed PCM–copper grid system so that energy storage and release rates can be expedited. The experimental setup mainly consists of a borosilicate glass enclosure filled with paraffin wax. It also consists of a heater and strategically located thermocouples. Three thermocouples are employed to quantify the temperature at different positions. A controlled amount of heat (228 W and 350 W) is supplied to the enclosure, and its influence on the PCM was recorded. Experiments are conducted with and without attaching the copper grid to the glass enclosure, and a detailed comparison of the results has been presented. At the heat input of 350 W, the maximum temperature of ≈72 °C was achieved in 22 and 32 min, respectively, for the enclosure with and without copper grid. From the experimental observations, it can be inferred that the copper grid significantly helps to enhance the overall thermal conductivity resulting in an increased rate of melting of the PCM.