Ternary pesticidal mixtures comprising, as active components, an anthranilamidcompound of the formula (I) wherein the variables are defined according to thedescription, and two fungicidal compounds Il and lll selected from the followinggroups: azoles, strobilurins, carboxamides, heterocylic compounds, carbamates,guanidines, antibiotics, nitrophenyl derivates, sulfur-containing heterocyclylcompounds, organometal compounds and other active compounds according to thedescription, in a synergistically effective amount, methods for controllingpests, and harmful fungi, methods of protecting plants from attack or infestationby insects, acarids or nematodes, methods for treating, controlling, preventingor protecting an animal against infestation or infection by parasites, compositionscontaining these mixtures, and methods for their preparation.