A 1930s spice warehouse in Curlew Street - now used as an office block - has changed hands for £28.4 million.
LaSalle Investment Management has sold the freehold of India House, on behalf of a client, to UBS Core Opportunities Fund.
The six-storey block is fully let.
"India House has outperformed both the IPD Index and the wider City office market, as a result of the proactive asset management programme we adopted which featured refurbishments, new lettings, renewals and rent reviews," said Shaun Reed, national director of LaSalle Investment Management.
"It is now a high-quality, multi-let asset on the south bank, which is a part of London that has benefited from significant regeneration and improved transport connections making it an increasingly popular and vibrant business hub.
"When we brought India House to market, we received strong interest from several investors including institutional funds, property companies and overseas investors."