664 squadron AAC was formed from the air troops of the parachute battalions of 16 Parachute Brigade and based at Jersey Brow hangar at the Royal Aircraft Establishment, Farnborough. In 1971 it was renamed 664 Parachute Squadron AAC. When the brigade was disbanded the Squadron reverted to being known as Squadron AAC.
664 Squadron was converted to fly and fight Apache Attack Helicopters in 2007, following which it spent many of the next 7 years conducting operational tours to Helmand Province in Afghanistan where it was initially part of the Joint Helicopter Force (UK JHF(A)), and then from 2010 part of the UK's Joint Aviation Group based at Camp Bastion under command of the USMC Expeditionary Force, flying in direct support of conventional forces on the ground such as Task Force Helmand and the Afghan Security Forces as well as Special Forces from a number of Coalition nations.
RAF AIR UK have raised a virtual 664 Squadron as their operational arm of their virtual AAC and equipt the squadron with AH64D Apache and Gazelle helicopters.