Using a simple quantum mechanical method, we calculated the energy of the highest-occupied molecular orbital (E(HOMO)) of three groups of anti-inflammatory compounds, and we have found correlations between E(HOMO) of these molecules and experimental data previously reported on (1) inhibition of sheep-vesicular-gland prostaglandin cyclooxygenase by phenolic compounds, (2) inhibition of prostaglandin cyclooxygenase in mouse macrophages by salicylates, benzoates and phenols, and (3) peroxyl-radical scavenging and radioprotection of a bacterial virus by NSAID drugs, including metiazinic acid, sulindac, D-penicillamine, piroxicam, indomethacin, benoxaprofen, and aspirin. Our correlations using a systematic evaluation of the HOMO energies can be of predictive value in the search for new anti-inflammatory drugs as well as for new radioprotectors.