The paper presented the possibility of recognition by adult the comfort and discomfort state of 3 and 6 months old infant's on the base of their vocalizations. The acoustic features of the vocalizations that are important for the recognition of the infant state of the characteristics of voice was described. It is shown that discomfort vocalizations differ from comfort ones on the basis of the average and maximum values of pitch, pitch values in the central and final part of the vocalization. A mathematical model is proposed and described a classification function signal of discomfort and comfort. Was found that the vocalizations of infants attributable adults with a probability of 0.75 and above the categories of comfort and discomfort with high reliability are recognized by the mathematical model based on a classification function.