The firm will redevelop a former RBS office for Derwent London on Whitechapel High Street.
The eight-storey building will be extensively stripped out to provide 200,000 sq ft of office space.
In addition, a new entrance will be created along with an open plan reception area containing informal meeting spaces and new retail units.
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The M&E infrastructure of the building will also be upgraded and new generators will be installed.
Stuart Deverill, ISG's Southern Regional MD, said: "Office construction activity within the immediate vicinity of our head office has significantly increased over the past six months and really highlights the strong levels of occupier demand in this area.
"This latest win reinforces our market leading position in complex office refurbishment and fit out, and we're delighted to be working with Derwent London to maximise the value of this key property asset."
(LM/MH)
