Though the reasons for the sale are not clear, the site has been home to two different restaurants over the past four years.
A spokesperson for property firm Christie & Co, which is handling the sale, said Bronte will remain open while on the market.
The location at 1-3 Strand was previously occupied by The Strand Dining Rooms, which opened to poor reviews in 2014 - earning a single star review from Telegraph critic Matthew Norman. Despite bringing in Mark Sargeant to overhaul the menu in 2015, it closed its doors in January 2016.
The restaurant was taken over by father and son team Trevor and Adam Davies and relaunched as Bronte later that year with a menu created by Andrew Lassetter and head chef Jonathan Villar - who cooked with Peter Gordon at London's Providores and Tapa Room.
The 230-cover bar, brasserie and dining rooms were designed by Dixon and his Design Research Studio, who also did the décor at Stevie Parle’s Craft London and the Mondrian Hotel.
Now Christie & Co is seeking premium offers in excess of £850,000 for the lease, goodwill, fixtures and fittings.
“Sites in such iconic locations rarely become available and to be able to bring to the market Bronte, with is stylish interior and established trade, is a real bonus,” says Simon Chaplin, Christie & Co’s head of restaurants.
“We expect interest to be generated from both UK and international operators looking to grab this prestigious restaurant in a location that is known around the world.”
Bronte is named after Lord Nelson, whose statue stands atop Trafalgar Square's central column, who held the title of 1st Duke of Bronte.
BigHospitality has contacted Bronte for further comment.