Relations between the brain hemispheres were studied during the human perception of various types of Russian intonations. Fifty healthy subjects with normal hearing took part in the tests based on the method of monaural presentation of stimuli—the sentences that represented the main kinds of Russian emotional and linguistic intonations. The linguistic intonations expressed: various communicative types of sentences; completeness/incompleteness of a statement; various types of the syntagmatic segmentation of the statements; various logical stress. Sentences that required the identification of the emotion quality were used to study the perception of emotional intonations. The results of statistical analysis of latent periods and errors made by the test subjects demonstrated a significant preference of theright hemisphere in perceiving emotional intonations and complete/incomplete sentences; sentences with different logical stress were perceived mainly by theleft hemisphere. No significant differences were found in the perception of various communicative types of sentences and statements with different syntagmatic segmentation. The obtained data also testify to a difference in the degree of the involvement of human hemispheres in the perception and analysis of prosodic characteristics of the speech in males and females.