The Elliott-Chelsea Houses is a combined housing project of the New York City Housing Authority (NYCHA), located between West 25th and 27th Streets and Ninth and Tenth Avenues in the Chelsea neighborhood of Manhattan, New York City. It consists of two contiguous projects which were originally separate but have been combined for administrative purposes: the John Lovejoy Elliott Houses, named after the founder of the Hudson Guild, has four 11- and 12-story buildings which accommodate over 1400 residents in 589 apartments. The Chelsea Houses has over 1,000 residents in 426 apartments within two 21-story buildings.

The New York City Housing Authority (NYCHA) is a public development corporation which provides public housing in New York City, and is the largest public housing authority in North America. Created in 1934 as the first agency of its kind in the United States, it aims to provide decent, affordable housing for low- and moderate-income New Yorkers throughout the five boroughs of New York City. NYCHA also administers a citywide Section 8 Leased Housing Program in rental apartments. NYCHA developments include single and double family houses, apartment units, singular floors, and shared small building units, and commonly have large income disparities with their respective surrounding neighborhood or community. These developments, particularly those including large-scale apartment buildings, are often referred to in popular culture as "projects."