The study of processes related to the motor response suppression and the evaluation of the next, alternative, response after termination of the already observed initial motor response is of significant interest to modern scientists. The objective of our research is to identify the gender-specific features of the amplitude-time characteristics of induced cortical electrical activity in the process of the excitation of the motor programs of manual movement. Healthy and right-handed men and women aged 18–23 participated in the research. The research tasks investigated the time of simple and complex visual-motor responses, amplitude-temporal features of N2 and P3 components of cognitive evoked potentials in the response to launch and contralateral switching (dominant or subdominant arm) of the motor program of finger flexes (pressing the remote control button) in the Stop-Change paradigm. Event-related potentials (ERPs) were analyzed in the frontal, central, and parietal lobes of the cortex. It was established that male participants had lower time indexes of simple and complex visual-motor responses than women. In addition, during the contralateral switching of motor programs of manual movements the smaller latent periods of the ERPs components in the right central and left frontal sections (component N2), in the left hemisphere lobes (component P3) among men were observed. The amplitudes of the N2 and P3 components revealed higher values in male participants at the parietal lobes. Thus, the process of recognizing and differentiating the stimulus among men was faster, with more powerful focus and attention on the operative memory. In the left hemisphere of men and women the smaller latent periods of P3component (in the central lobe) and amplitudes of N2 and P3 components were determined compared to the right hemisphere. Thus, the motor programs switching in the paradigm of the experiment occurred with the sequential activation of the left and contralateral right hemispheres.