Abstract: A method for extracting a dihydroperoxide of a dialkylbenzene of the formula, ##STR1## wherein each R.sub.1, R.sub.2, R.sub.3 and R.sub.4 is independently a lower alkyl group, from an aqueous alkali solution of the said dihydroperoxide with at least one organic solvent selected from the group consisting of C.sub.4 -C.sub.10 ketones, C.sub.4 -C.sub.10 ethers and C.sub.4 -C.sub.8 alcohols, which comprises extracting the dihydroperoxide by a countercurrent multi-stage extraction at a temperature between 0.degree. and 85.degree. C with a temperature gradient, the aqueous alkali solution being fed to the lower temperature zone, the organic solvent being fed to the higher temperature zone, and each aqueous alkali solution and organic solvent being fed countercurrently, whereby the dihydroperoxide is obtained in the form of organic solvent solution from the lower temperature zone.