The influence of nickel addition in Co–Te–O catalytic films, obtained by vacuum co-evaporation of Co, Ni, and TeO2 on electrocatalytic activity toward oxygen reactions in alkaline media has been investigated. Bifunctional gas-diffusion oxygen electrodes were prepared by direct deposition of catalyst films on gas-diffusion membranes consisting of hydrophobized carbon blacks. The method used allows the deposition of nanostructured films consisting of intertwined nanowires with high surface area. Thus, obtained electrodes with different atomic ratio R (Co+Ni)/Te of the catalyst, fresh and thermally treated at 100 °C temperatures were electrochemically tested by means of cyclic voltammetry and steady-state voltammetry. It has been shown that the partial replacement of Co with about 30 at.% Ni leads to the increase in the film catalytic activity toward oxygen evolution reaction.