The nine-storey Murray Grove scheme for house builder Telford Homes has received planning permission and is scheduled to start on site this autumn.
In a statement, the firm said the building - which will take only nine weeks to erect - 'will be the first building in the world of this height to construct not only lad-bearing walls and floor slabs but also stair and lift cores made entirely from timber.
'This building has been designed using a 'cross-laminated timber panel system - akin to jumbo plywood.
'Each of the panels is prefabricated, including cutouts for windows and doors. As the panels arrive on site they are immediately craned into position, dramatically reducing the time on site,' the statement added.
The firm, which last month won permission for a synagogue in Hackney ( Waugh Thistleton takes an orthodox route with new synagogue ), said the fabric of the Murray Grove building would store more than 181 tonnes of carbon.
'Additionally, by not using a reinforced concrete frame, a further 125 tonnes of carbon are saved from entering the atmosphere. This is equivalent to 21 years of carbon emissions from a building of this size.'