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The gene amplification technique is used in medical science and biotechnology popularly. The loop-mediated isothermal amplification (LAMP) is a nucleic acid amplification method that can be utilized in low-resource settings and does not require expensive or complex instruments. The annealing process of LAMP is performed at a constant temperature (around 65 °C) for an hour. From previous works, phase change materials (PCMs) have been applied for the latent heat energy storages due to their isothermal operation during phase transitions. The utilization of the melting temperature of the paraffin wax to maintain the suitable temperature for LAMP process is introduced in our study. To enhance the heat transfer inside the energy storage unit, several pin fins are constructed on the inner surface of the unit which is 50 mm × 50 mm × 50 mm in inner size. The influence of various numbers of pin fins on the temperature distribution is examined by the numerical simulation. The heat transfer inside the paraffin enclosure with fins is better than that without fin. It can be found that the temperature uniformity in the PCM inside the enclosure with fins shows much better. Though the numbers of the fin are increased, some transfer energy from the heat source remains at the enclosure wall and cannot penetrate into the PCM. The duration for all PCM melted from solid phase to liquid phase is over 10 minutes. In the future, the geometric parameters on the duration for phase transition of PCM inside the LAMP chamber will be investigated.