The Olympics-themed parade runs from Piccadilly to Trafalgar Square where there is live music.
High-jumper Deirdre Ryan and boxer Kenneth Egan, who have qualified for the Games, are among those joining.
There are 220,488 Irish people living in London according to the last census.
Mayor of London Boris Johnson said: 'I'm delighted to once again be backing London's St Patrick's Day celebrations.
"That they are amongst the biggest outside Ireland reflects the longstanding contribution of many generations of Irish people to London life."
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"I do not accept the allegation that I have brought the Labour Party into disrepute", said Livingstone.
Family and friends of the victims of Grenfell Tower have been paying tribute to those who perished in the disaster.
The balmy conditions have swept in on a high pressure system, dragging in hot air from the continent, according to the Met Office.