In this paper, we analyze the internal pico-second dynamics of enantiomeric ((S)-) and racemic ((R,S)-) ibuprofen (IBP), when forming inclusion complexes, in solid state, with methyl-beta-cyclodextrin (Me-beta-CD), by inelastic and quasi elastic neutron scattering. The study was aimed at understanding, by the analysis of the vibrational and relaxational properties of the inclusion complexes also with respect to the single components, if and how the differences in the structural properties of the hydrogen bond (HB) network of (S)- and (R,S)-IBP can have influence on the complexation process triggered by "host-guest" interactions, whose detailed knowledge is retained as a prerequisite for enantiodiscrimination. From the results, a similar complexation mechanism for (S)- and (R,S)-IBP is argued, with a preferred penetration mode involving the isopropyl group of IBP.