In the present research, the impact of the arene ligand on the dipole moment, electronic structure, hyperpolarizability, and frontier orbital energy in Cr(CO)3(arene) complexes (arene = benzene, biphenyl, triphenly, tetraphenyl) is studied by MPW1PW91 quantum chemical computations. The chemical bond nature between the arene ligand and the Cr(CO)3 fragment is demonstrated through the energy decomposition analysis (EDA). The percentage composition of frontier orbitals considering the specified groups of these complexes is obtained to investigate the features of metal–ligand bonds. The internal reorganization energy values are calculated to study the charges mobility. The quadrupole polarization magnitude of the carbonyl carbon atom is calculated as an assessment of the amount of pπ–dπ back donation in Cr–CO bonds. Moreover, the effect of aromatic ring numbers is calculated on the βtot values for these complexes.