Seven new Cu-II complexes based on a binuclear planar unit [Cu(mu-L-1)](2), {[Cu(mu-L-1)(NO3)(H2O)](2) (1), [Cu(mu-L-1)(HL1)(ClO4)](2) (2), [Cu-4(mu-L-1)(6)(NO3)(2)] (3), [Cu-4(mu-L-1)(6)(L-1)(2)] (4), [Cu-4(mu-L-1)(6)(mu-L-2)](n) (5), [Cu-4(mu-L-1)(6)(mu-L-3)](n) (6), {[Cu-4(mu-L-1)(4)(mu-L-4)(2)](H2O)(3)}(n) (7) (HL1 = 3-(2-pyridyl)pyrazole, L-2 = 1,8-naphthalenedicarboxylate, L-3 = terephthalate, L-4 = 2,6-pyridinedicarboxylate)}, have been synthesized and characterized by elemental analysis, IR, and X-ray diffraction. In 1 and 2, the Cu-II centers are linked by deprotonated pyrazolyl groups to form dinuclear structures. 3 and 4 have similar gridlike tetranuclear structures in which two additional deprotonated L-1 ligands bridge two [Cu(mu-L-1)](2) units perpendicularly. 5 and 6 consist of similar one-dimensional (1-D) chains in which gridlike tetranuclear copper(II) units similar to that of 3 are further linked by L-2 or L-3 ligands, respectively. And, in 7, L-4 ligands link [Cu(mu-L-1)](2) binuclear units to form a tetranuclear gridlike structure in chelating/bridging mode and simultaneously bridge the tetranuclear units to form a 1-D chain, The magnetic properties of all complexes were studied by variable-temperature magnetic susceptibility and magnetization measurements. The obtained parameters of J range from -33.1 to -211 cm(-1), indicating very strong antiferromagnetic coupling between Cu-II ions. The main factor that affects the vertical bar J vertical bar parameter is the geometry of the Cu(N-2)(2)Cu entity. From the magnetic point of view, 1 and 2 feature "pure" dinuclear, 3 and 5 tetranuclear, and 4, 6, and 7 pseudodinuclear moieties.