The decay of the fluorescence polarisation anisotropy (FPA) of the ethidium-DNA complex has been measured by multifrequency phase fluorometry, in order to study the perturbations induced by the presence of different ligands on the torsional dynamics of DNA, a moderately flexible polymer that undergoes bending (flexure of the helix axis) and torsional (twisting of base pairs) motions. Two probes have been used together with ethidium: an intercalator, chloroquine, and a minor groove binding dye: hoechst 33258. Chloroquine is found to substantially modify the DNA torsional dynamics both in linear and in circularly closed DNAs only at high binding ratios, in agreement with previous reports [Wu et al. Biochem. 27 (1988) 8128]. The effective elastic constant becomes approximately three times larger when the dye/base pairs binding ratio is higher than 0.14. The minor groove ligand hoechst 33258, on the other hand, greatly increases the effective elastic constant to the point that at dye/base pairs ratios larger than 0.5, the effective elastic constant becomes stiffer by several orders of magnitude, suggesting a progressive hindering of internal motions. The results reported here show that DNA torsions are more effectively influenced by groove-binding molecules than by intercalators and it is expected that the large perturbation of the former ligand may be useful when describing the change in the dynamical properties induced by DNA binding proteins. FPA in the frequency domain, the technique adopted throughout this work, has proved to be very sensitive to changes of the elastic constant that describes DNA torsional dynamics. Several computer simulations performed in order to predict the FPA time decay of intercalated ethidium have led to good agreement with the observed results.