This essay addresses the ethical question of whether convicted murderers with mental disabilities should be executed. The paper begins by introducing the issue, highlighting the complexities and ethical considerations involved. It then delves into the ethical theory of Utilitarianism, explaining its core principles and how it aims to maximize overall well-being. The application of Utilitarianism to the central question is explored, considering the potential consequences and benefits for all parties involved, including the murderers, society, and potential victims. Through this analysis, the paper seeks to determine whether executing murderers with mental disabilities aligns with the Utilitarian framework, ultimately aiming to provide a reasoned conclusion based on the ethical theory's principles. The essay emphasizes that the conclusion is based on the ethical theory, not necessarily the author's personal views.