The present invention relates to an agrochemical mixture for increasing the health of a plant, comprising as active compounds: 1) a fungicidal compound (I) selected from the group of strobilurins consisting of pyra- clostrobin, azoxystrobin, dimoxystrobin, enestroburin, fluoxastrobin, kresoxim-methyl, metominostrobin, orysastrobin, picoxystrobin, pyribencarb, trifloxystrobin, pyrametostrobin, pyraoxystrobin, coumoxystrobin, coumethoxystrobin, triclopyricarb (= chlorodincarb), fenaminostrobin (= diclofenoxystrobin), flufenoxystrobin, 2-(2-(6-(3-chloro-2-methyl- phenoxy)-5-fluoro-pyrimidin-4-yloxy)-phenyl)-2-methoxyimino-N-methyl-acetamide, 3- methoxy-2-(2-(N-(4-methoxy-phenyl)-cyclopropane-carboximidoylsulfanylmethyl)-phenyl)- acrylic acid methyl ester, methyl (2-chloro-5-[1-(3- methylbenzyloxyimino)ethyl]benzyl)carbamate and 2-(2-(3-(2,6-dichlorophenyl)-1-methyl- allylideneaminooxymethyl)-phenyl)-2-methoxyimino-N methyl-acetamide and 2) at least one herbicidal compound (II) selected from the group of imidazolinones con-sisting of imazamethabenz-methyl, imazamox, imazapic, imazapyr, imazaquin and imazethapyr or an agriculturally acceptable salt thereof and 3) a second herbicidal compound (III) selected from the group consisting of glyphosate and glufosinate or an agriculturally acceptable salt thereof in synergistically effective amounts. In addition, the invention relates to an agrochemical composition for increasing the health of a plant, comprising a liquid or sold carrier and a mixture as defined above. The present invention also relates to a method for synergistically increasing the health of a plant, which is tolerant to a herbicidal compound (III), wherein the plant, the locus where the plant is growing or is expected to grow or plant propagation material from which the plant grows is treated with an effective amount of a mixture as defined above. Furthermore, the present invention relates to the use of a mixture as defined above for synergistically increasing