The invention relates to 2-(pyridin-2-yl)-pyrimidine compounds of general formula (I) and their use for controlling pathogenic fungi and as plant protection products that, as an active constituent, contain compounds of this type: In general formula (I), k represents 0, 1, 2, 3; m represents 0, 1, 2, 3, 4 or 5; n represents 1, 2, 3, 4 or 5; R1, independent of one another, represents halogen, OH, CN, NO2, C1-C4 alkyl, C1-C4 alkyl halide, C1-C4 alkoxy, C1-C4 alkoxy halide, C2-C4 alkenyl, C2-C4 alkynyl, C3-C8 cycloalkyl, C1-C4 alkoxy-C1-C4 alkyl, amino, phenoxy, which is optionally substituted by halogen or C1-C4 alkyl, NHR, NR2, C(Ra)═N—ORb, S(═O)pA1 or C(═O)A2, or two radicals R1 bound to adjacent carbon atoms can, together, also represent a group —O-Alk-O—, wherein Alk represents a linear or branched C1-C4 alkylene, and 1, 2, 3 or 4 hydrogen atoms can also be replaced by halogen; R2 represents C1-C4 alkyl halide, C1-C4 alkoxy, C1-C4 alkoxy halide, hydroxy, halogen, CN or NO2; whereby R2 can also represent hydrogen or C1-C4 alkyl when at least one of the three following conditions is fulfilled: n represents 3, 4 or 5; k represents 1, 2 or 3; if m is not equal to 0, at least one of the radicals R1 represents a radical that differs from halogen, C1-C4 alkyl, C1-C4 alkoxy and C1-C4 alkyl halide, and; R3 represents C1-C4 alkyl.