This work presents studies of the electrocatalytic properties of ternary CoWRe alloys during the hydrogen-evolution reaction in KOH solution and their corrosion properties in KOH, H$_{2}$SO$_{4}$ and NaCl solutions. These alloys are electrodeposited from a citrate-pyrophosphate electrolyte with potassium-perrhenate concentrations of 0.01, 0.03, and 0.05 mol$\cdot$l$^{-1}$. As shown, the use of such alloys makes it possible to increase the exchange current density by an order of magnitude and reduce the hydrogen overvoltage by 150 mV compared to electrolytic cobalt. An increase in the content of rhenium in the alloy leads to an increase in the overvoltage of hydrogen evolution in alkaline solutions: both in the KOH solution and in the electrolyte for the deposition of the alloy that explains the high current efficiency when obtaining alloys’ coatings. As shown, the highest corrosion resistance of such coatings with the ratio Re:W = 2:4 reaches 8.9 k$\Omega\cdot$cm$^{2}$ in NaCl solution, and in KOH solution, it is of 3.1 k$\Omega\cdot$cm$^{2}$, and corrosion resistance increases in time.