It is certain that the human brain responds to all kinds of inputs such as feeling, sound, light, and odor. However, to the best of our knowledge, limited works have investigated the response of the human brain to different inputs, especially in eyes-open and eyes-closed (EO & EC) conditions. Due to its fine temporal resolution, portability, noninvasiveness, and low set-up costs, electroencephalography (EEG) is one of the most practical way to evaluate the response of the brain to different inputs. In this study, the brain reactions to olfactory were analyzed, and two identifications were done, which were odor and subject. The brain reactions were captured by EEG from five healthy subjects during smelling of valerian, lotus flower, cheese, and rosewater odors in EO & EC conditions. We tested band power, statistical data, Hjorth parameters, and autoregressive model features and achieved the highest average classification accuracy rates of 96.94% and 99.34% for odor and subject identifications, respectively. The obtained results proved that the olfactory response of the human brain in EO & EC conditions can be reliably used for odor and subject identifications.