Chief of the General Staff General Sir Peter Wall said the redundancies were essential to reduce the Army to 82,000, in accordance with Government plans.
The new "Step Up" recruitment drive is designed to help bring in privates and junior officers and is part of a wider campaign to recruit 10,000 new members of staff over the coming year.
It is understood the redundancies should apply to staff at more senior levels.
The Armed Forces is always recruiting to ensure we have enough quality junior ranks and young officers to promote up through the organisation in future.
The Armed Forces Redundancy Programme has been designed to safeguard those skill sets needed in the future Armed Forces, while ensuring that rank structure remains.
New figures suggest nearly one in five people would consider joining the Army.
Three quarters of those surveyed believe skills gained in the Army would prove useful to them in general life. The OnePoll survey of 2,000 adults was conducted last month.
More top news
Former athletes who were treated as 'lab rats' in a state-sponsored programme of doping in East Germany are speaking out.
A nurse has told ITV News how the courage of the Manchester bombing victims gave her the strength to carry on.
A warm evening with late sunshine and feeling very summery