HIV-1 integrase (IN) catalyzes integration of viral DNA into cell DNA through 3'-processing of viral DNA and strand transfer reactions. To learn on binding of IN to DNAs and IN inhibition we applied spectroscopy (circular dichroism, fluorescence) in a simplified model consisting in a peptide analogue (K156) of alpha4 helix involved in recognition of viral and cell DNA; an oligonucleotide corresponding to the U5' LTR DNA end; and an inhibitor (TB11) of the diketo acid (DKA) family. Results extrapolated to IN show that: the enzyme binds viral DNA with high affinity and specificity, but cell DNA with low affinity and specificity; the affinity of TB11 for IN is high enough to impair the binding of IN to cell DNA, but not to viral DNA. This explains why TB11 is an inhibitor of strand transfer but not of 3'-processing. These results can help in the search of new IN inhibitors.