The antonyms for the phrase "give incentive" can be numerous, depending on the context. Some possible antonyms may include "discourage," "deter," "demotivate," "disincentivize," "de-incentivize," or "dishearten." These terms describe actions that counteract providing a motivation or a reward to encourage a specific behavior or action. For instance, when an employee is not rewarded for his efforts, he may be discouraged from putting in extra effort. Similarly, when a student is not awarded the desired grade, it may demotivate him to continue working hard. In such cases, the antonyms for "give incentive" can be applied to describe disincentives or demotivators.