A phosphate-free dishwasher detergent which contains a builder, bleaching agents, and also a) a copolymer comprising i) monomers from the group of mono- or polyunsaturated carboxylic acids; ii) monomers of general formula R1(R2)C═C(R3)—X—R4; and iii) optionally further monomers, and b) a nonionic surfactant of general formula R1—CH(OH)CH2O-(AO)w-(A′O)x-(A″O)y-(A′″O)z—R2. The detergent has good cleaning and rinsing results which are comparable to those of phosphate-containing dishwasher detergents or even outdo them.