By analyzing the coherence of EEG activity, we examined the spatial organization of the latter in 60 adults of both sexes characterized by dissimilar levels of different aspects of aggressiveness and hostility (diagnosed using the Buss–Durkee and Il’yin questionnaires). Recording of EEG (21 leads positioned according to the 10-20 system) was carried out in the resting state. The greatest numbers of aggressiveness level-related differences in the coherence level (values of the coherence coefficient, Kcoh) were found for oscillations of the β and γ ranges. Despite the high natural interindividual variability, the subgroup of persons with a high level of aggressiveness was characterized, in general, by somewhat smaller values of Kcoh for the δ and θ ranges (in particular in the P4–O2 pair) and greater values of Kcoh for the β1 and β2 rhythms (with an accent in the C3–P3 pair) and γ range (maximum differences in T3–T5). The subgroup of persons with a high level of hostility was distinguished by smaller Kcoh of δ, θ, and γ oscillations and greater Kcoh for the β range in pairs F8–T4 and F7–T3. Aggressive persons demonstrated greater, in general, numbers of low-coherence relations, especially in the δ and θ spectrum segments. The subgroup with domination of autoaggressiveness was characterized by several significantly lower values of Kcoh for the δ and θ ranges.