The complex oxides Li1 + xNi1 / 3Co1 / 3Mn1 / 3O2 were obtained by solid state method. The conclusion about influence of lithium concentration on Ni2+ and Ni3+ ions ratio in Li1 + xNi1 / 3Co1 / 3Mn1 / 3O2 is made. Monotonous decrease of g-factor value identified by EPR method testifies the intensification of local exchange interactions with temperature descent. That is in agreement with magnetic susceptibility data indicating the antiferromagnetic ordering at T=4 K.