house has 15 distinct synonyms spread across 5 of its 14 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a dwelling that serves as living quarters for one or more families
“he has a house on Cape Cod”
the members of a business organization that owns or operates one or more establishments
“he worked for a brokerage house”
the members of a religious community living together
the audience gathered together in a theatre or cinema
“the house applauded”
an official assembly having legislative powers
“a bicameral legislature has two houses”
play in which children take the roles of father or mother or children and pretend to interact like adults
“the children were playing house”
(astrology) one of 12 equal areas into which the zodiac is divided
the management of a gambling house or casino
“the house gets a percentage of every bet”
a building where theatrical performances or motion-picture shows can be presented
“the house was full”
a building in which something is sheltered or located
“they had a large carriage house”
contain or cover
“This box houses the gears”
provide housing for
“The immigrants were housed in a new development outside the town”
Synonyms, antonyms and the broader and narrower relations for house come from Princeton University’s WordNet. Full sources and licences.