Tate Modern suffered an 8 per cent drop in the number of visitors during 2013, according to figures released this week.
The Association of Leading Visitor Attractions (ALVA) has published visitor figures for its 197 members across the UK.
Nearly 4.9 million people visited Tate Modern last year, down 8 per cent on the record-breaking 5.3 million figure achieved during 2012.
The fall bucks the overall trend with an average increase of 6 per cent to all ALVA member attractions. Other major London museums and galleries reported strong performance.
The closure of Tate Modern's turbine hall for more than half the year may have contributed to the drop in numbers.
The Tower Bridge Exhibition saw a 17 per cent rise in visitor numbers, with 595,000 people visiting the high-level walkways above the Thames.
The attraction has now submitted a planning application for the installation of a glass floor allowing visitors to the upper walkways to see the bridge's bascules lifting.
HMS Belfast had a good year with visitor numbers recovering to 332,342 after a poor year in 2012 due to the collapse of the vessel's gangway.
As expected the Imperial War Museum's main London site in Lambeth Road saw a sharp decline in visitor numbers with just 360,886 through the doors during the half-year it was open to the public in 2013.
The museum is due to reopen fully this summer at the start of the World War I centenary commemorations.
ALVA's figures do not include attractions such as the London Eye (50 million visitors in 13 years) or The View from the Shard which recently welcomed its one millionth visitor after just 13 months.
For the latest local news and events direct to your inbox every Monday, you need our weekly email newsletter SE1 Direct.