In computer ethics, as in other branches of applied ethics, the problem of the justification of moral judgment is still unresolved. I argue that the method which is referred to as “The Method of Wide Reflective Equilibrium” (WRE) offers the best solution to it. It does not fall victim to the false dilemma of having to choose either case‐based particularist or principle‐based universalist approaches to the problem of moral justification. I claim that WRE also provides the best model of practical moral reasoning available for computer ethics. It does not pretend to provide quasi‐algorithmic procedures for moral decision‐making, but neither does it abandon the regulative ideal of communicative transparency in discursive public justification.