The hindered rotation of the diatomic molecuel Co in solid Ar matrixrnis discussed by propesing the distortion of the octahedral symmetry of therncrystal field of the matrix in the vicinity of the impurity molecule to arnlower symmetry, in particular tetrahedral symmetry. The solutions of thernSchrodinger equation are obtained in general form using group theory analogousrnto the well known Devonshire model.rnNumerical calculations of the energy levels and heat capacity for Cornmolecules in Ar are made for different strength of the crystal field. Qualitativernagreement with experimental data in the temperature range 0.5 - 10Krnis achieved. Parameters characterizing the hindered rotation of Co moleculernin Ar are predicted