A conductor easily transfers energy in the form of electricity and/or heat, while an insulator does not easily transfer these types of energy.
Conductors are the substances which allow the electricity to pass through them while insulators resist electricity.
A conductor is something which allows electric current to flow through it freely whereas an insulator prevents any electric current flowing through it. Mainly insulators are classified as solid materials due to the fact they offer a large resistance to the flow of current however, metals are classified as conductors as they offer a small resistance to the flow of current.
CONDUCTOR: those objects which can pass electricity through them is known as conductors. the conductors can pass electricity through them due to free electrons present in them. for example: iron, copper, aluminium etc.
INSULATOR: those objects which can not pass electricity through them is called insulator. the insulators can't pass electricity due to less or absence of free electrons. for example paper, wood, rubber etc
A conductor easily lets "something" pass, while an insultator won't. The "something" is usually either an electrical current, or heat.