The twisted and tapering stainless-steel structure, dubbed The Peninsula Spire, is 45m high - taller than the Royal Albert Hall - and was co-designed by structural engineer WhitbyBird.
The spire will be a permanent centrepiece for Peninsula Square, a public space being developed for a new business district at the Greenwich Peninsula.
The 34-tonne sculpture was made in three pieces, the largest weighing 25 tonnes, and was built by Swiss craftsmen Tuchschmid. Its construction required the help of a Dutch luxury yacht builder due to the complex form of the steel plates.
Peninsula Square will include cafes, shops and restaurants and a regular venue for special events and performances for visitors and office workers.
Barr Gazetas' Alistair Barr said: 'Greenwich has led the world with innovative ideas in astronomy, navigation and precision engineering. This is a fantastic example of truly creative collaboration between architects, engineers and craftspeople to create an inspiring and unique work of art.'