From Longman Dictionary of Contemporary Englishminister of stateˌminister of ˈstate noun [countable] PGOa member of the government in Britain who has an important job in a government department but is not in charge of it
Examples from the Corpus
minister of state• One had even held an appointment under Heath as minister of state for Employment.• It is based north of Bolton, in the constituency of David Trippier, a DoE minister of state. 