Two new complexes of a previously obtained chromone derivative, 5-amino-8-methyl-4H-benzopyran-4-one (ligand 1), with the Co(II) (4) and Pd(II) (5) ions were synthesized and characterized by elemental analysis, IR and mass spectroscopy. The previously characterized Cu(II) complexes (2 and 3) and the newly obtained complexes of ligand 1 with Pd(II) and Co(II) have been tested as potential anticancer compounds. The molecular structure of 5 has been determined by X-ray crystallography. Biological properties, such as cytotoxicity against several cancer cell lines, the influence of the obtained compounds on the DNA structure by CD spectroscopy and agarose gel electrophoresis, have been evaluated. Also some physico-chemical properties, such as lipophilicity and stability in the aqueous solution, were tested.