A detergent composition having a pH equal to or greater than 12, comprising a hypohalite and a copolymer chosen from the group consisting of COPOL-1 and COPOL-2 wherein: COPOL-1 is a copolymer obtainable by copolymerization of at least components a), b) and c), wherein the COPOL-1 copolymer comprises: - 25.0 to 80 mol% of one or more cationic monomers a) selected from the group consisting of (meth)acrylamide and diallyldimethylammonium chloride cationic monomers, and - 0.1 to 50.0 mol% of one or more polyethylene glycol macromonomers b), and - 15.0 to 74.9 mol% of one or more neutral acrylamide monomers c); and wherein COPOL-2 is a copolymer comprising: - 0.1 to 99.4 mol% of one or more cationic structural units and - 0.4 to 4.5 mol% of one or more macromonomeric structural units; wherein the cationic structural unit is represented by the general formulas and/or wherein R 1 and R 1a are the same or different, and independently selected from H and methyl; R 1b, R 3, R 4 and R 5 are the same or different, and independently selected from the group consisting of H, aliphatic hydrocarbon having 1 to 20 carbon atoms, cycloaliphatic hydrocarbon having 5 to 20 carbon atoms, aryl having 6 to 14 carbon atoms and/or polyethylene glycol; Y is the same or different, and selected from the group consisting of O, NH and NR 3; V is the same or different, and selected from the group consisting of -(CH 2) x - and x is the same or different and it is an integer ranging between 1 and 6, X and X 1 are the same or different, and independently chosen from the group consisting of halogen, C 1-4 -alkyl sulfate and C 1-4 -alkyl sulfonate; and wherein the macromonomeric structural unit is represented by the formula wherein R x is the same or different, and is selected from the group consisting of H and methyl; Z is the same or different, and selected from the group consisting of C=O and O(CH 2) 4; l is, in a molar ratio, a number ranging between 0 and 7; and p is, in a molar ratio, a number ranging between 1 and 150. COPOL-1 is a copolymer obtainable by copolymerization of at least components a), b) and c), wherein the COPOL-1 copolymer comprises: - 25.0 to 80 mol% of one or more cationic monomers a) selected from the group consisting of (meth)acrylamide and diallyldimethylammonium chloride cationic monomers, and - 0.1 to 50.0 mol% of one or more polyethylene glycol macromonomers b), and - 15.0 to 74.9 mol% of one or more neutral acrylamide monomers c); - 25.0 to 80 mol% of one or more cationic monomers a) selected from the group consisting of (meth)acrylamide and diallyldimethylammonium chloride cationic monomers, and - 0.1 to 50.0 mol% of one or more polyethylene glycol macromonomers b), and - 15.0 to 74.9 mol% of one or more neutral acrylamide monomers c); and wherein COPOL-2 is a copolymer comprising: - 0.1 to 99.4 mol% of one or more cationic structural units and - 0.4 to 4.5 mol% of one or more macromonomeric structural units; - 0.1 to 99.4 mol% of one or more cationic structural units and - 0.4 to 4.5 mol% of one or more macromonomeric structural units; wherein the cationic structural unit is represented by the general formulas and/or wherein R 1 and R 1a are the same or different, and independently selected from H and methyl; R 1b, R 3, R 4 and R 5 are the same or different, and independently selected from the group consisting of H, aliphatic hydrocarbon having 1 to 20 carbon atoms, cycloaliphatic hydrocarbon having 5 to 20 carbon atoms, aryl having 6 to 14 carbon atoms and/or polyethylene glycol; Y is the same or different, and selected from the group consisting of O, NH and NR 3; V is the same or different, and selected from the group consisting of -(CH 2) x - and x is the same or different and it is an integer ranging between 1 and 6, X and X 1 are the same or different, and independently chosen from the group consisting of halogen, C 1-4 -alkyl sulfate and C 1-4 -alkyl sulfonate; and wherein the macromonomeric structural unit is represented by the formula wherein R x is the same or different, and is selected from the group consisting of H and methyl; Z is the same or different, and selected from the group consisting of C=O and O(CH 2) 4; l is, in a molar ratio, a number ranging between 0 and 7; and p is, in a molar ratio, a number ranging between 1 and 150.