- Morality and Utility (1891): In this book, Thomson argues that morality is based on utility, or the principle of maximizing happiness and minimizing pain. He defends this position against various criticisms, including the charge that it leads to egoism and that it cannot account for the moral significance of certain actions.
- The Utilitarian Theory of Law (1893): In this work, Thomson applies the principle of utility to the philosophy of law. He argues that the law should be designed to promote the greatest happiness of the greatest number of people, and that this principle should be used to interpret and evaluate legal rules and decisions.
- Political Ethics (1895): In this book, Thomson discusses the ethical foundations of political institutions. He argues that the state is justified as a means of promoting human well-being, and that the best form of government is one that most effectively achieves this goal.
- The Problem of Evil (1910): In this work, Thomson addresses the question of why there is evil in the world if God exists. He argues that evil is not inconsistent with the existence of a benevolent God, and that it can be explained by the principle of free will and the finite nature of human beings.
- History of Ancient Philosophy (1921): This book provides a comprehensive overview of the history of philosophy from the ancient Greeks to the medieval period. Thomson discusses the major philosophers and philosophical movements of this period, and analyzes their contributions to philosophy.
These are just a few of the works written by Francis Paul Thompson. He was a prolific writer and his works have had a significant influence on the development of moral and political philosophy.