A deinking composition which shows a good deinking performance, a good defoaming property and excellent operation characteristics whereby a deinked pulp having a high whiteness and little contamination with the total remaining ink can be obtained in the reclamation of waste papers by flotation, washing or a combination procedure thereof and wherein the deinking composition comprises a reaction mixture (II), as a deinking agent, obtained by the addition reaction of alkylene oxide (D) with a mixture (I) comprising a fat and oil (A) which is constituted with a mixture of higher fatty acids (a) comprising fatty acids having 8 to 24 carbon atoms; having an average carbon atom number of from 12.7 to 22.5; containing from 9.6 to 70.6% by weight of higher fatty acids having 20 to 24 carbon atoms and having an iodine value (IV) of 70 or less and glycerol (b-1), and/or, a transesterification reaction mixture (B) obtained by reacting the fat and oil (A) with glycerol (b-2), and at least one mono- to tetradecahydric alcohol (C).