The classical auditory oddball paradigm is a commonly used experimental paradigm for evoking event related potentials (ERPs). The present study was aimed to explore the auditory cognitive processing mechanism of space perception of human brain. We employed an auditory oddball paradigm of binaural unbiased and biased sound intensity to compare and analyze the response characteristics of ERP. By focusing on the spatial lateralization characteristics of P300 and mismatch negativity (MMN) components, we analyzed their lateralization trends according to the laterality index. We found that both P300 and MMN components showed right-hemisphere lateralization phenomenon under the stimulation of asymmetric intensity of auditory acoustic. The results suggested that the right hemisphere of human brain played a key role in spatial information processing. The results also indicated that the hemispherical characteristics of the brain were not related to the actual spatial direction of the auditory stimulus, but were determined by the hemispherical functions of the brain. Furthermore, the results suggested that the MMN components induced by spatial differences were stronger in females than those in males.