Swinney joined the city's Lord Provost and other civic leaders to lay wreaths at the Stone of Remembrance outside the City Chambers, alongside veterans and military personnel.
The RAF Central Scotland Pipes and Drums band led a military parade down the Royal Mile, with members of the three Armed Forces marching in columns to the service.
When the gun fired from Edinburgh Castle at 11am, the city and nation fell silent for two minutes to remember those who have died in conflict.
Rev Dr George J Whyte led the service at St Giles' Cathedral.
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