Counter-vail refers to balancing or offsetting something with an opposing force or action. Some antonyms for this word include supporting, aiding, helping, and promoting. These words signify positive actions that add to or strengthen a particular force, rather than canceling it out. Other antonyms for counter-vail include ignoring, neglecting, overlooking, and dismissing. These words indicate the absence of any effort to exert any kind of counterbalancing force. In general, antonyms for counter-vail reflect actions or attitudes that either support or disregard a particular force, rather than act against it.