In this work, the kinetics of the high-pressure extraction (HPE) of anthocyanins from red grape pomace using a packed bed was studied. The solvent used was carbon dioxide modified with methanol as a cosolvent. A penetration model was developed that due to the laminate form of the grape skin particles, was based on the application of the mass balance to an infinite planar particle. The model was completed with a study of the soaking time of the process and this concludes with an empirical equation describing the behavior of this variable vs pressure, temperature, solvent flow rate, and cosolvent percentage. The fit of the model is satisfactory and it is able to predict in a reasonable way the extraction yield of the process. Finally, the model provides a value for the internal diffusion coefficient and this allows an analysis of the influence of the different variables in the extraction process.