Roger Donaldson will direct the espionage thriller from the script written by Michael Finch.
The film centres around an ex-CIA agent who is brought back for a job which sees him pitted against his former protegé in a plot involving the Russian president.
November Man marks the first collaboration to come out of a new financing and distribution deal between Brosnan's Irish DreamTime production company and The Solution Entertainment Group.
The movie is based on Bill Granger's novel There Are No Spies, and is intended as the first in a franchise based on the series.
"November Man has been a labour of love for both me and my company," Brosnan said. "I'm looking forward to working with The Solution, and reuniting with both Roger and Dominic as we prepare to make a great film."
Cooper is due to star in Cities and Dead Man Down and will next be seen in Abraham Lincoln: Vampire Hunter.
Brosnan recently signed to join Owen Wilson in action drama The Coup.
The pair appeared together in Mamma Mia!