Liberty is freedom itself. Liberation is the act of setting something free or becoming free. It is the noun form of the verb "to liberate." A bird in a cage is not free, it has no liberty. Opening the cage door liberates the bird. Liberation is often used in a poltical or social context. For example, in the United States, the women's liberation movement holds that women in the U.S. do not experience complete liberty but remain captive to social traditions, and seeks the complete liberation of women so that they will have the same degree of liberty as men. Similarly, when a nation is seen as being captive to an occupying foreign government, the overthrow of that government is often described as "liberation."

liberty is being free to do, say or act in the way you please. Example: You're at liberty to do whatever you want. liberation is the process of freeing. The liberation movement is striving to liberate (verb form of liberation) people and protect their rights.