The band, who reformed for two charity concerts without founding member Peter Hook last month, will play the Troxy venue on December 10.
New Order split for a second time in 2007 after a falling out between Hook and guitarist/singer Bernard Sumner.
The current lineup, which will play the band's first UK date in five years, features Sumner, drummer Stephen Morris and original keyboard player Gillian Gilbert.
Gilbert originally quit the band in 2001 and was replaced by Phil Cunningham, who remains in the new lineup. Tom Chapman, who was in post-New Order group Bad Lieutenant, plays bass in place of Hook.
Tickets for the show go on sale this Friday, November 1 at 9am and are priced at £32.50.
Hook has said that he wants "to f**k New Order over in any possible way" he can and dismissed Gilbert as "not a very good musician".
He also claimed that the band were "hiding behind" last month's charity gigs in Paris and Brussels while "hawking for an American tour".
> Peter Hook: 'New Order reunion like Sooty without Sweep'
Watch the new lineup of New Order play 'Ceremony' at the Paris Bataclan below: