In the spring and early summer of 1982 Glamorgan was involved in the Falklands War during which she engaged Argentine land forces and protected shipping.

In the last days of the war, Argentine navy technicians fired a land-based MM-38 Exocet missile which struck the ship causing damage and killing 14 of her crew.

[10] The Seaslug GWS2 was a beam riding missile which had an effective range of about 23 mi; 37 km with a maximum altitude of 50,000 feet (15,000 m).

[11][12] Close-in anti-aircraft protection was provided by a pair of Seacat (missile) launchers and two single Oerlikon 20mm cannons, with two twin QF 4.5 inch Mark V gun mounts were fitted forward.

[7] In October 1968, Glamorgan took part in Exercise Coral Sands, a joint amphibious operations off Queensland, Australia, involving forces from Australia, New Zealand, the United States and the United Kingdom, visiting Australian ports after completion of the exercise.

[14][15][16] In March 1976, Glamorgan took part in the multi-national exercise Valiant Heritage, a simulated amphibious assault against San Diego.

[17] At the start of the Falklands campaign, on 2 April 1982, Glamorgan was already at sea off Gibraltar about to take part in exercises;[18] she was immediately diverted to join the main Royal Navy task force, and served as flagship for Rear Admiral Sandy Woodward, Flag Officer First Flotilla and Commander Carrier Battle Group, during the voyage south until 15 April, when he transferred his flag to the aircraft carrier HMS Hermes.

The three British ships soon came under attack by three IAI Dagger jets; two 500 lb (230 kg) bombs fell close alongside Glamorgan, causing minor underwater damage.

[22] For the next two weeks until the end of May she was almost continuously engaged bombarding various shore positions on the east of the islands mainly as part of a plan to distract attention from the landings at San Carlos Water, but also against the airfield at Stanley and in support of British forces ashore.

[24] At the beginning of June, the task force having been reinforced with other ships, Glamorgan was detached to protect shipping in the Towing, Repair and Logistics Area (TRALA), some 200 miles (320 km) away from the islands,[25] but as the campaign reached a climax she was recalled in the evening of 11 June to support the Royal Marines fighting the Battle of Two Sisters.

[26] At 06:37 the following morning, Saturday 12 June 1982, Glamorgan was attacked with an MM38 Exocet missile, fired from an improvised shore-based launcher.

The incoming Exocet missile was also being tracked on Glamorgans bridge and operations room by the Principal Warfare and Navigation Officers.

Thirteen crew members who lost their lives that day were buried at sea that evening, a fourteenth, Able Seaman David McCann died of his wounds on August 19, 1982 [32][33] The ship was underway again with all fires extinguished by 11:00.

The bases of the US Marines and French forces in Beirut had been bombed by suicide bombers on 23 October and there were fears that British interests were at risk.

As the ship had a greater range than the Brazen she set off ahead and raced across the Mediterranean to the coast of Lebanon to evacuate the British peace-keeping troops with her Lynx.