Anodic dissolution of two heat-resistant chrome–nickel alloys containing 12% (weight) tungsten and 8% tungsten with 6% rhenium in a 2 M NaNO3 solution was investigated using the rotating disk electrode method at current densities up to 30 A/cm2. It is shown that anodic dissolution of these alloys occurs in the transpassive region of potentials with transition of the components in solution to forms with the highest oxidation level. Various mechanisms of alloy dissolution determining the processing speed (together with electrochemical dissolution) are proposed, including disintegration of the hardening phase, chemical oxidation of low-valence intermediates by solution components, and electrochemical formation of surface oxide layers. The results of change in the chemical composition of surfaces depending on the processing regimes are presented. Some variants of control by regimes of electrochemical dimensional processing (ECDP) of details from these alloys to achieve the optimal parameters of ECDP are proposed.