Britain's Unite union said it would fight the "devastatingly short sighted" job losses as BAE said it will also cut around 375 jobs at its maritime operations and 150 roles at its Applied Intelligence business, as part of a reorganisation designed to be make the business more competitive.
The group, which employs 34,600 people in Britain, has already slowed production at two of its plants in Lancashire, northern England, which are involved in making the Typhoon jet.
Based on current orders for its Typhoon and Hawk aircraft, BAE said it needed to reduce the workforce at the unit by up to 1,400 roles.
BAE's Warton and Samlesbury plants will suffer the brunt of the losses as around 5,000 people there work on the Typhoon programme, which is a joint project between BAE, France's Airbus and Italy's Finmeccanica.
Unite stood ready to fight the job losses.
BAE said in August that any new orders were unlikely to impact production delivery rates positively for at least 24 months, and production would be under constant review.
"We obviously have to review our (Typhoon) production demand very carefully," Mr Woodburn said in August.
However, he said he remained confident about future orders for the aircraft.