“The theatre industry is thankful for all the support and patronage Her Majesty has shown throughout her lifetime. We would like to convey our deepest sympathy to the Royal Family at this time of national mourning.
Audiences at the Old Vic in Waterloo, where Eureka Day is playing, held a minute’s silence ahead of the show.
The theatre itself posted a tribute remembering her first visit there as an 11-year-old to see A Midsummer Night’s Dream starring Ralph Richardson as Bottom and Vivien Leigh as Titania.
Other venues, including the National Theatre, posted their own tributes remembering times the Queen visited.
The SOLT statement said London’s theatres will stay open with performances going ahead in accordance with guidance from the Department for Digital, Culture, Media and Sport.