Withering away of the state is a concept of Marxism, coined by Friedrich Engels, and referring to the idea that, with realization of the ideals of socialism, the social institution of a state will eventually become obsolete and disappear, as the society will be able to govern itself without the state and its coercive enforcement of the law.
The phrase was coined by Engels in Part 3, Chapter 2, of Anti-Dühring:
Another related quote from Engels comes from Origins of the Family, Private Property, and the State:
Although Engels first introduced the idea of the withering away of the state, he attributed the underlying concept to Karl Marx; other Marxist theorists—including Vladimir Lenin—would later expand on it. According to this concept of the withering away of the state, eventually a communist society will no longer require coercion to induce individuals to behave in a way that benefits the society. Such a society would occur after a temporary period of the dictatorship of the proletariat.
It proceeds from the concept of the transformation of the state in the previous stage of society called socialism. In socialism, Engels posits that, similar to the arguments made by Henri de Saint-Simon before him, that in a socialist society, public organization would become primarily concerned with technical issues such as the optimal allocation of resources and determination of production as opposed to drafting and enforcing laws, and thus the traditional state functions would gradually become irrelevant and unnecessary for the functioning of society. Engels argued that the state transforms itself from a "government of people, but the administration of things", and thus would not be a state in the traditional sense of the term.