The invention relates to a detergent composition, suitable for use in dish washing or laundry, comprising at least 15% of a detersive surfactant(s), and a block copolymer, selected from the group consisting of (block A)-(block B) diblock copolymers, (block A)-(block B)-(block A) triblock copolymers, and (block B)-(block A)-(block B) triblock copolymers, wherein block A and block B derive from alpha ethylenically unsaturated monomers, at least one block being water-soluble. The detergent compositions provide an increased cleaning, and/or a decreased redeposition of the fatty substances once they are removed from a substrate.