A ministry (government department) is a department of a government. The Ministry refers to all minister (whether or even does'nt it is within cabinet) led by a prime minister. a Ministry (likewise referred to as the Ã?ireacht) was the cabinet of the government established per radical Irish Republic of 1919-1922. Ministry (band) is the name of an industrial music band who released their foremost album in the 1980s. A religious ministry is a type of activity conducted by members of various faiths, particularly a various Christian faiths. A currently-defunct UK dance music magazine published per Ministry of Sound. It has morphed into M8.