Thermodynamic analyses of β-Ga2O3 growth by both ozone and plasma-assisted molecular beam epitaxy (MBE) were performed. In either case, the growth mechanism was found to differ depending on whether the input VI/III ratio was above or below 1.5. Under O-rich conditions (VI/III > 1.5), the driving force for β-Ga2O3 growth () was determined to increase linearly with increasing Ga input partial pressure () because almost all the supplied Ga was used for the growth of the β-Ga2O3. In contrast, Ga-rich conditions (VI/III < 1.5) caused to decrease. Etching of the β-Ga2O3 occurred with increasing due to the formation of volatile Ga2O. This work also demonstrated that the use of ozone allowed growth at higher temperatures than the use of O radicals. The calculated results were in good agreement with experimental values, indicating that β-Ga2O3 growth by MBE can be explained by thermodynamics.