The site, which will have the capacity to house 179,210 birds across four buildings, is located in the Sutton Veny area of the county.
The application had originally been submitted in December 2012 but was revised to reduce the number of poultry houses from five to four.
The revised proposal involves the demolition of the four existing poultry buildings currently in place and replacing them with four new poultry houses. This will increase the capacity from 155,000 birds to 179,120.
The application was submitted by Amber Real Estates Investments which counts Ranjit Singh Boparan of 2 Sisters Food Group as one of its directors. When approached a 2 Sisters spokesperson said that Amber Real Estates Investments is an entirely separate trading entity to 2 Sisters.
The proposal had been subject to objections from residents. Wiltshire Council received 265 letters of objection, one letter of approval as well as a petition against the proposal that was signed by over 400 people.
Reasons for objection included traffic; noise and smell pollution; animal welfare; security issues, employment concerns and that it would impact on the area's natural beauty.
Despite these objections, a green light was given by the planning department.
Wiltshire Council's planning department's statement on the decision said: "The proposal is on an existing poultry farm to remove existing dilapidated poultry buildings which are to be replaced with a more efficient modern purpose built accommodation ensuring the highest levels of stock welfare and minimising external impacts. This is in accordance with both national and local planning policy and guidance, which allows development that, supports a prosperous rural economy, including the sustainable growth and expansion of all types of business and enterprise in rural areas, both through conversion of existing buildings and well designed new buildings.
"Officers consider on balance taking the above into account that the proposed development would not have an adverse impact on the character or appearance of the locality and in particular the Area of Outstanding Natural Beauty within which it is situated."