The orientational correlation scheme introduced earlier for tetrahedral molecules is extended for being able to classify orientational correlations between pairs of high symmetry molecules. It is based on the number of corner atoms of each molecule found within the orientation cones and provides the probability of 6 orientation groups versus the centrecentre distance. The apex of the orientation cone coincides with the molecular centre and the axis points towards the other centre, while the apex angle is chosen, that the average coordination number of the corner atoms inside would be 2. The method is applicable to molecules whose corner atoms are spaced evenly and only 1, 2, or 3 corner atoms must be found inside the cone. To demonstrate the applicability of the method, the plastic crystalline phase of the truncated icosahedral shaped C 60 molecules and the octahedral-shaped SF 6 molecules in its gaseous, supercritical fluid, liquid and plastic crystalline phases have been modeled using classical molecular dynamics. For SF 6 , after the best performing forcefield, in terms of the density and the total scattering structure factor, was found, orientational correlations have been analyzed. In the non-crystalline phases, close contact orientation and medium-range order regions could be identified. While the former is invariant to the changes of the density, the latter showed longer-ranged correlations as density raised. In the plastic crystalline state, fluorine atoms are oriented along the lattice directions with higher probability. In C 60 , local order in the first and second coordination shells is determined quantitatively for three force fields.The gaseous, liquid, and supercritical fluid states have triggered only a few diffraction studies 22,23 . MD simulations are compared to experimental properties on these phases by Dellis and Samios 24 , using potential sets optimized for describing supercritical fluid 23 and crystalline phases 13,25 . Strauss et al. 23 used RMC modelling, and their description was focused on atomic RDFs. According to my best knowledge, there has not been any investigation performed yet that would take into