The men, both from 1st Battalion The Irish Guards, were killed in an explosion last week.
Catherine, who is five months pregnant, handed out shamrocks to soldiers from the 1st Battalion Irish Guards.
Prince William, who is colonel of the Irish Guards, wore the regiment's red tunic during the ceremony.
More than 300 soldiers from The Rifles and the King's Royal Hussars, the 1st Battalion Irish Guards and 1st Battalion Grenadier Guards took part.
They broke into spontaneous clapping, cheering and whistling when the Band of the Irish Guards played "Happy Birthday" for the Queen at the parade's as a surprise.
Mons Barracks will become home to 1st Battalion The Scots Guards, currently based in Catterick, with 1st Battalion The Irish Guards moving out to Hounslow.
Worst of all, in 1914 Kipling used his influence to ensure that his son John obtained a commission in the Irish Guards, in spite of poor eyesight.
In December 2010, while supporting the Irish Guards and Danish troops forming part of the Coalition forces, Theo identified two bags of fertiliser and a large quantity of parts intended to make IEDs.
On 1 March 2011, Theo and Lance Corporal Tasker were on a mission in support of the Irish Guards in the Nahr-e Saraj district in Helmand, when a fire-fight broke out, killing Lance Corporal Tasker.
The Queen Mother's links to Northern Ireland are cemented every year when she presents the Irish Guards with a shamrock on St Patrick's Day, a tradition begun in 1900, the year she was born.
Singer Alesha Dixon will perform with The Corps of Drums of the 1st Battalion Coldstream Guards and 1st Battalion Irish Guards, while singer Pixie Lott will appear alongside trumpeters from the Band of the Grenadier Guards.
The royal couple watched 200 soldiers parade through the square, bringing a splash of colour to the occasion in their full ceremonial uniform of scarlet tunics and bearskins, and led by the Band of the Irish Guards.
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