It is the largest London office fit-out contract of the last 12 months.
The office building is currently under construction by main contractor Mace. ISG is scheduled to get on site at the start of 2015, following a 12-month pre-construction period.
Appointed under a construction management form of contract, ISG will deliver approximately 700,000 sq ft of high-specification commercial office accommodation.
The building will house up to three trading floors, enabling UBS to consolidate its London trading operations within one building, as well as an auditorium and a range of open plan and cellular office space.
The architect is Make and the developers are British Land and Blackstone Group.
ISG chief executive David Lawther said: "Following such an exceptional year's performance for our London Fit Out business in 2013 with a win of this scale and prestige is a tremendous result and further reinforces our position as the sector's lead contractor.
“Reassuringly, confidence is returning to the London office market as a whole, and in addition to securing many of the capital's most high-profile schemes, we have maintained and built on our reputation for delivering exceptional fit out solutions across all value bands."
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