Copper(II) complexes with 2,5-bis(methylthio)-1,3,4-thiadiazole (tda) formulated as [Cu(tda)n X2 ] (n=2, X=Cl- , Br- , C2 N3 - ; n= 1, X=C2 N3 - ) have been isolated and fully characterized. The crystal structures of all compounds have been determined using single-crystal X-ray diffraction (SCXRD). A study of the magnetic susceptibility in the range 1.77-300 K has shown that magnetic properties of the [Cu(tda)2 Cl2 ] and [Cu(tda)2 Br2 ] complexes match those of 1D chains of antiferromagnetically-coupled Cu2+ ions. The intrachain interaction J in [Cu(tda)2 Cl2 ] turns out to be ∼1.2 times weaker than in its bromide analogue. In its turn, [Cu(tda)2 (C2 N3 )2 ] exhibits J being an order of magnitude smaller and of the opposite ferromagnetic sign. Halogen bonding (HB) between adjacent complexes is much stronger than the H-bonds or π-π interactions between tda ligands according to the DFT calculations.