Hydrate based technology is a potential approach for gas storage, separation, desalination, and carbon dioxide capture. At the same time, natural gas hydrate is also one of the potential important energy because of its huge resources. Most natural gas hydrates exist in natural porous media while it has unique properties in porous media. At the same time, with the increase of global temperature, the sensitivity of methane hydrate sediment has uncertainty on reservoir stability and potential environmental impact at low temperature. In this study, the formation process and kinetics of gas hydrates in silicon sand (0.1~0.5 mm) were investigated. The pressure and temperature profile, reaction rate, and gas uptake were studied at 273.75, 273.85, and 273.95 K. According to the change of temperature and reaction rate, the hydrate formation process presented three obvious stages. In different stages, the temperature and reaction rate showed unique characteristics, such as peak value, duration, and so on. At the same time, they were very sensitive to the reaction temperature. In the first stage, the peak value of temperature was the highest, but the duration time was the shortest. In the second and third stages, the temperature peak was gentle and the duration time was relatively long. The change of reaction rate was like that of temperature, the peak and average value of reaction rate decreased with the increase of temperature. The final gas content and hydrate saturation also slightly decreased with the increase of reaction temperature. The final saturation of hydrate, aqueous phase, and gas-phase was calculated in the pore of silicon sand. The analysis of the results showed that the commencement of hydrate growth was sensitively related to temperature, and the scatter of the onset of hydrate growth was greater at low temperatures.