The museum opened on 2 April 1914. When the LCC took over the site to create the Geffrye Museum, Wilkinson's design was replaced with a new layout. The area was a centre of the furniture trade, so it was decided to establish a reference collection of furniture and interiors to inspire the manufactures. When furniture production moved away the focus of the museum shifted to a younger audience, particularly school children. The curator between 1935 and 1940,
Marjorie Quennell, introduced rooms furnished as at a series of historical times. In the latter part of the 20th century it was run by the
Inner London Education Authority (ILEA). Following the abolition of ILEA, the museum became a charitable trust in 1991. providing space to add a 20th Century exhibition, shop and education rooms. In January 2018, the museum closed for an £18m development project, reopening in June 2021. Until this closure, the main permanent displays were a series of room settings furnished and decorated to show the main living spaces and elements of domestic life through the centuries, reflecting changes in society, behaviour, style and taste. The museum's change of name was announced in 2019.
The Times dwelt on
Michael McMillan's West Indian front room: "The stand-out set is the new West Indian front room circa 1976 with its glittery cushions, pineapple ice bucket and kitsch souvenirs from St Vincent. A proper home with cheering clutter ... The gardens are heavenly, the gift shop divine. It might be the best present-shopping spot in London." In 2022, the museum held a Festival of Sleep and a Winter Festival, and the BBC series
Antiques Roadshow filmed a toys and childhood special at the museum. In 2023 the museum began to host exhibitions exploring the meaning of home to diverse communities, with disability rights activist
Paul Darke curating an exhibition displaying toys that represent disability including characters from
Ironside,
The Simpsons and the
Barbie collection. In early summer 2023 "No Place Like Home (A Vietnamese Exhibition) Part II" showed at the museum and was co-curated and led by KV Duong and Hoa Dung Clerget, featuring a group of Vietnamese diasporic artists. In June 2023, the museum announced the joint acquisition with
Tate of
Rebecca Solomon's 1861 painting,
A Young Teacher. ==Architecture==