Two new binuclear Cu(II) complexes represented by the general formula {(dmso)Cu(µ-L)4Cu(dmso)} (1) and {(Phen)(L)Cu(µ-L)2Cu(L)(Phen)} (2) where dmso = dimethyl sulphoxide, L = 2-bromophenyl acetate and Phen = 1,10-phenanthroline have been synthesized, isolated quantitatively and characterized by UV/Visible and FT-IR spectroscopic techniques, Thermogravimetry/Differential Thermal Analysis and X-ray single crystal XRD studies. Complex 1 is paddlewheel with 1,2-O,O-bridging while 2 has 1,1-O-bridging. The values of the intrinsic binding constants with DNA were found out to be 2.0×10 3 and 1.1×10 3 M -1 , respectively for compound 1 and 2. The mode of interaction of complexes with DNA was also evaluated through computational study by molecular docking (in silico) study using MOE (molecular operating environment) software. The synthesized complexes are structurally as well as biologically important.