2-Halofuryl/thienyl-3-carboxamides of the formula in which A represents 0 (oxygen) or S (sulphur), Hal represents halogen, R represents hydrogen M represents a phenyl, thiophene, pyridine, pyrimidine, pyridazine or pyrazine ring, each of which is monosubstituted by R 7, or represents a thiazole ring substituted by R 7-A, R 7 represents hydrogen, fluorine, chlorine, methyl, isopropyl, methylthio or trifluoromethyl, R 7-A represents hydrogen, methyl, methylthio or trifluoromethyl, Z represents Z 1, Z 2, Z 3 or Z 4, in which Z 1 represents phenyl which is optionally mono- to pentasubstituted by identical or different substituents, Z 2 represents bicycloalkyl or cycloalkyl, each of which is optionally mono- or polysubstituted by identical or different substituents, Z 3 represents unsubstituted C 2 -C 20 -alkyl or represents C 1 -C 20 -alkyl which is mono- or polysubstituted by identical or different substituents from the group consisting of halogen, alkylthio, alkylsulphinyl, alkylsulphonyl, alkoxy, alkylamino, dialkylamino, haloalkylthio, haloalkylsulphinyl, haloalkylsulphonyl, haloalkoxy, haloalkylamino, halodialkylamino, -SiR 8 R 9 R 10 and C 3 -C 6 -cycloalkyl, where the cycloalkyl moiety for its part may optionally be mono- or polysubstituted by identical or different substituents from the group consisting of halogen and C 1 -C 4 -alkyl, Z 4 represents C 2 -C 20 -alkenyl or C 2 -C 20 -alkynyl, each of which is optionally mono- or polysubstituted by identical or different substituents from the group consisting of halogen, alkylthio, alkylsulphinyl, alkylsulphonyl, alkoxy, alkylamino, dialkylamino, haloalkylthio, haloalkylsulphinyl, haloalkylsulphonyl, haloalkoxy, haloalkylamino, halo-dialkylamino, -SiR 8 R 9 R 10 and C 3 -C 6 -cycloalkyl, where the cycloalkyl moiety for its part may optionally be mono- or polysubstituted by identical or different substituents from the group consisting of halogen and C 1 -C 4 -alkyl, R 8 and R 9 independently of one another represent hydrogen, C 1 -C 8 -alkyl, C 1 -C 8 -alkoxy, C 1 -C 4 -alkoxy-C 1 -C 4 -alkyl, C 1 -C 4 -alkylthio-C 1 -C 4 -alkyl or C 1 -C 6 -haloalkyl, R 10 represents hydrogen, C 1 -C 8 -alkyl, C 1 -C 8 -alkoxy, C 1 -C 4 -alkoxy-C 1 -C 4 -alkyl, C 1 -C 4 -alkylthio-C 1 -C 4 -alkyl, C 2 -C 8 -alkenyl, C 2 -C 8 -alkynyl, C 1 -C 6 -haloalkyl, C 2 -C 6 -haloalkenyl, C 2 -C 6 -haloalkynyl, C 3 -C 6 -cycloalkyl, or represents in each case optionally substituted phenyl or phenylalkyl A represents 0 (oxygen) or S (sulphur), Hal represents halogen, R represents hydrogen M represents a phenyl, thiophene, pyridine, pyrimidine, pyridazine or pyrazine ring, each of which is monosubstituted by R 7, or represents a thiazole ring substituted by R 7-A, R 7 represents hydrogen, fluorine, chlorine, methyl, isopropyl, methylthio or trifluoromethyl, R 7-A represents hydrogen, methyl, methylthio or trifluoromethyl, Z represents Z 1, Z 2, Z 3 or Z 4, in which Z 1 represents phenyl which is optionally mono- to pentasubstituted by identical or different substituents, Z 2 represents bicycloalkyl or cycloalkyl, each of which is optionally mono- or polysubstituted by identical or different substituents, Z 3 represents unsubstituted C 2 -C 20 -alkyl or represents C 1 -C 20 -alkyl which is mono- or polysubstituted by identical or different substituents from the group consisting of halogen, alkylthio, alkylsulphinyl, alkylsulphonyl, alkoxy, alkylamino, dialkylamino, haloalkylthio, haloalkylsulphinyl, haloalkylsulphonyl, haloalkoxy, haloalkylamino, halodialkylamino, -SiR 8 R 9 R 10 and C 3 -C 6 -cycloalkyl, where the cycloalkyl moiety for its part may optionally be mono- or polysubstituted by identical or different substituents from the group consisting of halogen and C 1 -C 4 -alkyl, Z 4 represents C 2 -C 20 -alkenyl or C 2 -C 20 -alkynyl, each of which is optionally mono- or polysubstituted by identical or different substituents from the group consisting of halogen, alkylthio, alkylsulphinyl, alkylsulphonyl, alkoxy, alkylamino, dialkylamino, haloalkylthio, haloalkylsulphinyl, haloalkylsulphonyl, haloalkoxy, haloalkylamino, halo-dialkylamino, -SiR 8 R 9 R 10 and C 3 -C 6 -cycloalkyl, where the cycloalkyl moiety for its part may optionally be mono- or polysubstituted by identical or different substituents from the group consisting of halogen and C 1 -C 4 -alkyl, R 8 and R 9 independently of one another represent hydrogen, C 1 -C 8 -alkyl, C 1 -C 8 -alkoxy, C 1 -C 4 -alkoxy-C 1 -C 4 -alkyl, C 1 -C 4 -alkylthio-C 1 -C 4 -alkyl or C 1 -C 6 -haloalkyl, R 10 represents hydrogen, C 1 -C 8 -alkyl, C 1 -C 8 -alkoxy, C 1 -C 4 -alkoxy-C 1 -C 4 -alkyl, C 1 -C 4 -alkylthio-C 1 -C 4 -alkyl, C 2 -C 8 -alkenyl, C 2 -C 8 -alkynyl, C 1 -C 6 -haloalkyl, C 2 -C 6 -haloalkenyl, C 2 -C 6 -haloalkynyl, C 3 -C 6 -cycloalkyl, or represents in each case optionally substituted phenyl or phenylalkyl