From Longman Dictionary of Contemporary Englishhousing projectˈhousing ˌproject noun [countable] American EnglishTBCPEW a group of houses or apartments, usually built with government money, for poor families
Examples from the Corpus
housing project• He is not beyond sitting down to redesign a housing project.• A riot in a drab housing project outside Paris leaves one participant on his deathbed, a victim of police brutality.• The residents of the Bernal Dwellings public housing project, which the suspects had terrorized for years, won. 