The activity of solid electrolytes from the family of Na(Cs)-M-x-Zr phosphates (NZP and CZP) with dopant ions M+2= Co(+2)and Ni(+2)synthesized by the sol-gel method is studied in the gas-phase transformations of isopropanol and isobutanol. It is found that the amount of M(+2)and its nature, as well as the direction of a change in the catalyst temperature (heating or cooling in the range of 473-693 K), affects the activity of M-NZP and M-CZP. In the transformation of isopropanol, hysteresis of the acetone yield, counter-clockwise (type I) for Co-NZP and clockwise (type II) for Ni-NZP, is observed in the heating-cooling cycles. An increase in the activity of Co-NZP in the cooling mode (type I) is related to a rise in the apparent activation energy of alcohol dehydrogenation under conditions of the formation of new catalytically active sites in the form of a Co+2-Zr+4 -> Co+3-Zr(+3)ion pair with the oxidized form of M and the reduced form of Zr. Type I hysteresis of the total alcohol conversion is observed in the transformations of isobutanol to olefin and aldehyde over Co(Ni)-CZP. The hysteresis is associated with a decrease in the activation energy of alcohol dehydrogenation. The main reaction over the Co(Ni)-CZP catalysts is the dehydration of alcohol with an increase in the activation energy of the reaction upon cooling, for example, by 53 kJ/mol for Ni-0.25-CZP.