Four new triangular copper(II) complexes with the fragment {Cu3(μ3-OH)(oximate)3}(2+) and formulae [Cu3(μ3-OH)(μ-Cl)(Py2CNO)3((t)BuPO3H)]·4H2O (1), [Cu3(μ3-OH)(μ-Br)(Py2CNO)3((t)BuPO3H)]·3.5H2O (2), [Cu3(μ3-OH)(μ-Br)(PhPyCNO)3((t)BuPO3H)(MeOH)]·1.5 MeOH (3), [Cu3(μ3-OH)Cl2(PhPyCNO)3]·0.5H2O (4), (Py2CNO = di(2-pyridyl)ketoximate, PhPyCNO = phenyl(2-pyridyl)ketoximate, (t)BuPO3H2 = tert-butylphosphonic acid) are reported. The magnetic properties of compounds 1-4 were studied. The compounds were found to exhibit strong antiferromagnetic coupling and antisymmetric exchange interaction.