The global demand for herbal cosmetics is vastly increasing due to their health benefits and relative safety. Glycyrrhiza spp. extracts are used in cosmetic preparations due to their skin-whitening, antisensitizing, and anti-inflammatory properties. The aim of this work is to computationally evaluate the bioactive constituents of licorice (Glycyrrhiza glabra L.) that possess antioxidant, anti-inflammatory, and dermatocosmetic activities, and elucidate the dynamics of their molecular targets. The used methods are skin permeability prediction, target prediction, molecular docking, and molecular dynamic simulation (MDS). The results show that, at a skin permeation cut-off value of −6.0 cm/s, nine phytoconstituents of licorice (furfuraldehyde, glucoliquiritin apioside, glycyrrhizin, isoliquiritin, licopyranocoumarin, licuraside, liquiritigenin, liquiritin, and liquiritin apioside) were workable. Molecular target prediction results indicate probability for tyrosinase, 11-beta-hydroxysteroid dehydrogenase 1 (HSD11B1), monoamine oxidase B, steroid 5-alpha-reductase 1, and cyclo-oxygenase-1. On the basis of molecular docking, glucoliquiritin apioside and glycyrrhizin had the best antioxidant, anti-inflammation, and dermatocosmetic activities. MDS results show that the complexes had good stability, and MMGBSA results indicate that the complexes had satisfactory binding energy. Overall, this study demonstrates that licorice extracts are potential antioxidants that could enhance histological dermal and epidermal properties, and reduce the level of inflammatory and wrinkling markers.