Abstract:Liberty and equality are two basic values of man's political pursue, which are either connected or distinct. Liberty opposes government's force, while equality may inevitably go to equalitarianism. However, pursuing liberty may bring about inequality, while pursuing equality may result in harmness of individual rights. Liberty and equality are just two twins of one mother, contradictory and checked. People's preferring to either side leads to different schools of political thoughts and different running methods on power. Many significant issuses in political life can be explained by the Twins principle.