The cuts are part of a long term plan by the Ministry of Defence (MoD) to cut the number of army personnel from 101,000 to 82,000 by 2020.
The MoD said the move was "necessary" to help combat the 8% cut to its budget announced in 2010.
Despite these job cuts, the MoD said it still expects to increase the number of reservists from 15,000 in 2010 to 30,000 in 2018.
Defence secretary Philip Hammond has confirmed there will be no further reductions in the next round of spending cuts to hit the army.
A spokesperson for the MoD, said: "Tough decisions needed to be made to address the multi-billion 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."
Last Friday prime minister David Cameron said the UK had "very strong armed forces" and ones the "whole country can be proud of".
He added: "We're not going to be making further cuts to the numbers of our army, navy or air force, they know what they have available.
"No department can be excluded from being efficient, from saving money, from making sure we get the best possible value for every pound that we take from the taxpayers and spend."
