Ping An Insurance has agreed to purchase the building from a German investment fund managed by Commerz Real, which is a division of lender Commerzbank.
The Lloyd's building houses insurance market Lloyd's of London.
"This is a potentially landmark transaction," said Jon Crossfield, director within Savills' Central London team.
"It is a high profile and confident entry to the market for them and further illustrates the dominance of overseas investors in London at present.