Based on the phase equilibrium line of coal mine gas (CH4∶C2H6∶N2=67.5∶22.5∶10) hydrate, hydration kinetics experiments with four different driving forces were worked out. The hydrate growth spectra were obtained by using micro-Raman spectroscopy. The hydrates in four experiments were sⅡ type according to the Raman shift of C2H6 C—C bond stretching vibration. The change laws of gas hydrate phase compositions and hydration numbers were obtained based on the model of van der Waals and Platteeuw. The results showed that the stability of hydrate was affected by driving force. When the driving force increased, the CH4 occupied more cavities than C2H6, and the more proportion of CH4 in hydrate phase, was the more stable the hydrate became. The priority levels entering hydrate cavities of N2, CH4 and C2H6 could be determined by using the diameter ratio of object molecular and hydrate cavities. Among these objects, the priority level of CH4 was the highest for small cavities and C2H6 was the highest for large cavities. The description of the guest material transfer law of hydrate growth process based on gas hydrate stability provides a theoretical basis for gas hydrate micro-growth.