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The solvation sphere of the proton is divided into an inner proton\u2013solvent cluster with covalent interactions and an outer solvation sphere that interacts electrostatically with the cluster. Thus, the solvation of the proton is divided into two steps that are calculated separately: 1) The interaction of the proton with one or more solvent molecules is calculated in the gas phase with high\u2010level quantum\u2010chemical methods (modified G3 method). 2) The Gibbs solvation energy of the proton\u2013solvent cluster is calculated by using the conductor\u2010like screening model (COSMO). For every solvent, the solvation of the proton in at least two (and up to 11) proton\u2013solvent clusters was calculated. The resulting Gibbs solvation energies of the proton were weighted by using Boltzmann statistics. The model was evaluated for the calculation of Gibbs solvation energies by using experimental data of water, MeCN, and DMSO as a reference. Allowing structural relaxation of the proton\u2013solvent clusters and the use of structurally relaxed Gibbs solvation energies improved the accordance with experimental data especially for larger clusters. This variation is denoted as the relaxed COSMO cluster\u2010continuum (rCCC) model, for which we estimate a 1<jats:italic>\u03c3<\/jats:italic> error bar of 10\u2005kJ\u2009mol<jats:sup>\u22121<\/jats:sup>. Gibbs solvation energies of protons in the following representative solvents were calculated: Water, acetonitrile, sulfur dioxide, dimethyl sulfoxide, benzene, diethyl ether, methylene chloride, 1,2\u2010dichloroethane, sulfuric acid, fluorosulfonic acid, and hydrogen fluoride. The obtained values are absolute chemical standard potentials of the proton (pH=0 in this solvent). 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