Single-pulse and double-pulse chronopotentiograms of a homogeneous anion-exchange membrane AX in 0.02 M solutions of NaCl (system 1) or NaH2PO4 (system 2) have been recorded in underlimiting and overlimiting current modes. It has been found that in the case of exceeding the limiting current (i > i (lim) (Lev) ) calculated using the convection-diffusion model, the time required to establish a steady state in system 2 increases by more than an order of magnitude compared to system 1. The slow growth of the potential drop is due to a gradual transition of the membrane from the form in which the main counterion is H2PO (4) (-) to the HPO (4) (2-) form. This transition is due to the deprotonation of a part of H2PO (4) (-) ions forming HPO (4) (2-) and protons as they enter the membrane. The participation of H+ in charge transfer in the depleted diffusion layer at a given current density causes a lower value of the potential drop than in system 1 for the same i/i (lim) (Lev) ratio. In intense current regimes, chronopotentiograms of system 2 exhibit two inflection points. The first point corresponds to the classical Sand transition time and is due to reaching the limiting current of H2PO (4) (-) ions (the main charge carrier for i < i (lim) (Lev) ) in the depleted diffusion layer. The second point is associated with a critical current that can be called the second limiting current in the system with NaH2PO4 and has no analogue in the system with NaCl. This current, which is approximately 2i (lim) (Lev) , corresponds to the state when the membrane is completely transformed into the HPO (4) (2-) form. Meanwhile, the source of protons due to the transformation of H2PO (4) (-) into HPO (4) (2-) ions as they enter the membrane is exhausted. After reaching this critical value of the potential drop, either the HPO (4) (2-) deprotonation reaction to give triply charged PO (4) (3-) ions in the membrane or the water splitting on fixed groups located at the membrane/solution interface may occur.