General Sir Peter Wall, Chief of the General Staff, said the Army owed "sincere gratitude" to those who have been made redundant today.
This redundancy scheme is a difficult but essential step towards our A2020 structure.
We owe our sincere gratitude to those leaving the Army for their service over such a demanding period of operations.
We will support them and their families as best we can on their path to civilian life.
Meanwhile we continue to need plenty of young and talented recruits to ensure the Army is fit to meet the challenges of the future.
Defence Secretary Philip Hammond said: “Today we have announced the third tranche of redundancies as we restructure the British Army to the size and configuration set out under the 2010 Strategic Defence and Security Review.
"It is with great regret that we have had to make redundancies to deliver the reduction in the size of the Armed Forces, but unfortunately they were unavoidable due to the size of the defence deficit that this Government inherited.
“Although smaller, our Armed Forces will be more flexible and agile to reflect the challenges of the future with the protection and equipment they need.
"They will continue to be the bedrock of our society and provide extremely rewarding and exciting careers for future recruits.”
General Sir Peter Wall, Chief of the General Staff, said he was "confident" the Army would still perform effectively despite the loss of 4,480 jobs today.
Sir Peter did admit that the redundancies would put "morale under strain."
Some 4,480 military personnel have been made redundant today in the latest round of army job cuts, the Ministry of Defence said.
The Conservative MP and former Army Colonel Bob Stewart has told Daybreak of his concern over the latest round of cuts to the Army that will be announced this morning.
He said: "The Army is extremely small now...It really hurts me. You need an army to be used in an emergency."
The Government has a flawed plan for reforming the British Army. There is a huge effort going into sacking soldiers but nowhere near as much is being done to plug the gap by recruiting new reservists.
These redundancies represent not just broken promises but a failing strategy, and the level of voluntary applicants will be a signal of morale.
Tough decisions needed to be made to address the multibillion-pound deficit and bring the defence budget back into balance.
This unfortunately included making some redundancies across the armed forces. However we can be clear that these reductions will not affect our operational capability.
The end of combat operations in Afghanistan and the restructuring of our armed forces means they will be more reflective of the complex global situation and more adaptable to future challenges and threats.
Thousands of soldiers are due to learn whether they have lost their jobs in the latest round of Army redundancies.
A fresh tranche of up to 5,300 Army personnel are to be handed redundancy notices as the Government tries to reduce the number of regulars to 82,000 by 2018.
The Ministry of Defence (MoD) said the move was necessary to help balance the books but insisted operational capability would not be affected.