Hydrogen peroxide is one of the most widespread reactive oxygen species, which can diffuse through cell membranes, causing changes in the redox status of cells and the development of oxidative stress. The results show that the effects caused by hydrogen peroxide are dose-dependent and can lead to both damage to cells and an increase in their resistance to oxidative stress. In this study, we assayed the effect of various concentrations of H2O2 on the redox status of the Yarrowia lipolytica yeast during long-lasting cultivation. The oxidant application to the cells in the logarithmic growth stage was shown to delay the impact on the ROS level in the late stationary growth stage. In this case, the dependence of the injected concentration on the redox status is not linear, which suggests triggering different signaling mechanisms by various concentrations of the oxidant.