The Interior Minister is a member of a Cabinet in a Government. The Minister of the Interior (also Internal Affairs or Home Affairs) has positions which vary between governments. It is more a product of the 20th century, so its powers aren't universal among countries.
In most nations, the Interior Minister is responsible for police or security. However, in some countries, an Interior Minister can be more in charge of Internal Matters, such as entry into the country (like the Israeli Interior Minister or the South African Minister of Home Affairs).