Longman Dictionary of Contemporary English
Wiktionary
n. (context politics English) government by a political party or a coalition that does not have a majority of seats / votes in parliament
Wikipedia
A minority government, or minority cabinet or minority parliament, is a cabinet formed in a parliamentary system when a political party or coalition of parties does not have a majority of overall seats in the parliament. It is sworn into office, with or without the formal support of other parties, to enable a government to be formed. Under such a government, legislation can only be passed with the support of enough other members of the legislature to provide a majority, encouraging multi-partisanship. In bicameral parliaments, the term relates to the situation in chamber whose confidence is considered most crucial to the continuance in office of the government.
A minority government tends to be much less stable than a majority government because, if they can unite for the purpose, opposing parliamentary members have the numbers to vote against legislation, or even bring down the government with a vote of no confidence.
Usage examples of "minority government".
The white-minority government made scattered concessions to nonwhites, but the basic dispute over the proper path of development remained.
We're employees of a foreign power conducting surveillance on behalf of a minority government so that their military can keep am eye on Islamic fanatics.