Two heterometallic trinuclear complexes {[Cu(oxbp)](2)Co(H2O)(2)} . 1.5DMF . 0.5H(2)O (complex 1) and {[Cu(oxbm)](2)Co(H2O)(2)} . 2DMF (complex 2) were obtained from the self-organization of two new dissymmetrical oxamidato-bridged copper(II) building blocks [Cu(oxbp)](-) and [Cu(oxbm)](-)[H(3)oxbp= N-benzoato-N'-(3-aminopropyl) oxamido, H(3)oxbm = N-benzoato-N'-(2-amino-2-methylethyl) oxamido, DMF = dimethylformamide]. The crystal structure of complex 1 has been determined. Complex 1 crystallize in triclinic system, space group P-1, a = 8.0609(16) Angstrom, b = 10.661(2) Angstrom, c = 22.279(5) Angstrom, alpha = 85.32(3), beta = 86.64(3), gamma = 70.90(3), and Z = 1. The crystal structure of complex 1 consists of neutral trinuclear complex units, and hydrogen bond involved DMF and water molecules. Through the hydrogen bonds, weak coordination and Cu...Cu weak interactions, complex 1 features a 2-D supramolecular structure. Magnetic susceptibility measurements ( 5 - 100 K) indicate that the central Co(II) and terminal copper metal ions are antiferromagnetically coupled with J=- 28.09 and J=- 29.70 cm(-1) for complex 1 and 2, respectively.