The object of this theoretical investigation is to determine the importance of the nonequilibrium region, which exists at the bubble wall, on the growth of a vapor bubble. All previous investigators concerned with bubble growth have completely neglected this nonequilibrium effect. In another paper [1] Bornhorst and Hatsopoulos investigated the phase-change problem, and the results which were obtained are applied here to solve the special problem of vapor bubble growth. The results are presented in terms of a two-parameter set of curves. These results show that for pressures where experimental results are available, the nonequilibrium effects are within experimental error; however, for pressures which are somewhat lower, the nonequilibrium effects become very important.