In the two title copper(II) complexes, [CuL(C(5)H(7)O(2))](n), (I), and [CuL'(C(5)H(7)O(2))], (II), respectively, where HL is 4-hydroxy-3-methoxybenzaldehyde picoloylhydrazone, C(14)H(12)N(3)O(3), and HL' is 4-methoxybenzaldehyde picoloylhydrazone, C(14)H(12)N(3)O(2), the Cu(II) ions display a highly Jahn-Teller-distorted octahedral and a square-planar coordination geometry, respectively. In complex (I), two neighbouring Cu(II) atoms are bridged by L(-) and acetylacetonate, alternately, giving rise to a one-dimensional chain of CuN(2)O(4) octahedra interconnected by these two ligands along the a axis. In addition, the hydroxy H atom of the vanillin group connects to the carboxyl O atom of the adjacent chain via an O-H...O hydrogen bond, giving rise to a three-dimensional supramolecular assembly. Complex (II) displays a discrete structure.