The rockers will be joined by The Killers frontman and 68-year-old singer/songwriter on their forthcoming studio record 'Music Complete', which will be their first release in over a decade.
Brandon will feature on the LP's closing track 'Superheated' - having originally named his band after a group in New Order's video for their 2001 hit 'Crystal' - while Iggy has provided his vocals to brooding song 'Stray Dog' after joining them on stage in New York last year.
Elsewhere on the album, the band's members Bernard Sumner, STEPHEN MORRIS, Gillian Gilbert, Phil Cunningham and Tom Chapman will be joined by La Roux singer Elly Jackson, who features on 'Tutti Frutti' and 'People on the High Line', as well as providing backing vocals on 'Plastic'.
The new information about their tenth studio album - which will be released on September 25 - comes as they announce a string of European tour dates for later in the year, which will see them visit France, Belgium, Sweden, Germany and the UK.
Tickets for the November shows across the continent will go on sale at 9am BST on Friday July 10.
New Order's European tour dates are as follows:
November 4 - Paris, Casino de Paris
November 6 - Brussels, Ancienne Belgique
November 8 - Stockholm, Annexet
November 11 - Berlin, Tempodrom
November 16 - London, Brixton Academy
November 19 - Glasgow, Academy
November 21 - Liverpool, Olympia
November 24 - Wolverhampton, Civic Hall
His new album Underneath It All is out now.