The battle, which took place on June 13/14, saw some of the fiercest fighting of the entire Falklands War, in 1982.
Men who served in the conflict with the 2nd Battalion Scots Guards will assemble at the Cenotaph in George Square at noon tomorrow. A reunion in England last weekend marked the actual anniversary.
The Glasgow service will include contributions from Tom McClure, a Greenock social worker who was a drummer with the 2nd battalion in 1982, and Reverend Robert Travers, padre to the Royal British Legion's Irvine branch.
Piper Duncan Ellwood, who played the battalion into battle on June 14, will play The Crags of Tumbledown, and bugler Craig Ross will play the Last Post.
Wreathes, crosses and tributes will be laid by Glasgow's Deputy Lord Provost, Gerry Leonard, amongst others. Birrell Pitcaithly, a former warrant officer with the battalion, will lay the main Tumbledown wreath.
Tomorrow's service will also include a two-minute silence and the singing of the hymn, Abide with Me.
William McMaster, 51, who served with the battalion, and is vice-chairman of the Royal British Legion's Irvine branch, is hoping for a large turn-out tomorrow.
Both he and Mr McClure were involved in the action at Mount Tumbledown, and together they have organised many of the memorial services in honour of those who served.
He said: "It's not hard to believe that it has been all of 32 years since Tumbledown.
"We all keep in touch with each other on Facebook and other websites. We talk to each other and are able to reflect on that time."
On the night of June 13 1982, the British launched an assault on Mount Tumbledown, one of the highest points near the town of Port Stanley, the capital and succeeded in driving Argentinian forces from the mountain.
This close-quarters night battle was later dramatised in the BBC film Tumbledown.
The attacking British forces consisted of the 2nd Battalion, Scots Guards (2SG), mortar detachments from 42 Commando, Royal Marines and the 1st Battalion, 7th Duke of Edinburgh's Own Gurkha Rifles, (1/7 GR) as well as support from a troop of the Blues and Royals equipped with two Scorpion and two Scimitar armoured vehicles.