The £400m scheme by architect Make has been dubbed “Gotham City”.
It ranges in height from seven to 34 storeys and includes 890,000 sq ft of office space and 20,000 sq ft of shops.
All the buildings on the Leadenhall Triangle site will be demolished except for a grade II-listed building at 19-21 Billiter Street, which Henderson has pledged to restore and integrate into the scheme.
The project will create 390 full-time jobs during construction, which is expected to start early next year.
Nick Deacon, Director of Property, Central London Offices, Henderson Global Investors,said: “We are delighted to have achieved a resolution to gr ant planning permission for what will be a very exciting addition to the London skyline and a valuable contribution to the City’s ever evolving tower cluster.
“This is a significant step forward for the project. We are committed to progressing the scheme and have begun to explore a number of options to achieve this.”
Paul Scott, Make partner and lead project architect, said: “The design breaks new ground and will join the City of London’s iconic portfolio of modern buildings.”
The building will be located in the City of London’s insurance district of EC3 and within the Eastern Cluster of tall buildings around the Gherkin.
It has been designed to meet the BREEAM Excellent standard and will boast over 1,000 bicycle spaces.
WSP are the structural engineers and EC Harris cost consultants on the project.