Multiunit activity was recorded in left and right sensorimotor cortex of rabbits in the state of tonic immobility. After the first immobilization session, the discharge frequency changed in 47% cells in the right hemisphere: 30% decreased their frequency, and 17% increased. In the left hemisphere, only 18% cells changed their discharge frequency (13% decreased and 5% increased). Reciprocal changes in discharge frequency could be observed in the neighboring neurons (recorded by the same electrode). Several days later, after the second immobilization session, the interhemispheric difference in the number of neurons, whose activity changed, almost disappeared (21% neurons in the right and 24% neurons in the left hemispheres). The relationship between the number of cortical neurons, which increased and decreased their activities in the state of "hypnosis" also became similar in the right and left hemispheres. A suggestion about the involvement of cortical neurons in organization of the state of "animal hypnosis" was made.