The leader of the Green Party, Trevor Sargent, today praised the Easter parade and described it as a symbol of a modern Ireland.
"Ireland's proud service in United Nations' peacekeeping missions is a modern example of the self-sacrifice espoused by the 1916 leaders," he said.
However, he added that the executed leaders of the Rising would be horrified to see how the Irish language is being marginalised within society today.
"The idealism of the 1916 leaders was as much to do with Ireland's integrity and identity as well as its independence," he explained.
Fine Gael leader Enda Kenny said: "The commemorations were a great showcase for the defence forces.
"I think it was a great measure of the consensus of opinion that this was a great success," Mr Kenny said.
"I understand that there was 120,000 here today so it's a great celebration to see young and old together for the spectacle and from the historical aspect.
"It was a great showcase for the Irish Army, for the services at home and abroad, and great to see them all."
Mr Kenny added that the day's event would be a long dress rehearsal for Centenary commemorations in 2016.
Former taoiseach, Albert Reynolds, congratulated the organisers of the event which he said was very important for the defence forces and the general public.
"It was high time that we had a parade like this. Too much time had elapsed. It was fantastic for the defence forces and the public and I hope that it continues on an annual basis," he said.
Labour Party leader, Pat Rabbitte, said: "It was a splendid opportunity for the defence forces, the Navy and the Air Corps to put their capabilities on display.
"It will take more time to consider the wider implications of today's event, as we drift towards the centenary celebrations of the 1916 Rising in 10 years," he said.
SDLP leader Mark Durkan said the commemoration was appropriate.
"But I hope that commemorations in the future will be even more dignified and inclusive and won't have as strong a military presence," he said.
Mr Durkan said it was unfortunate, but not surprising, that unionist politicians had declined an invitation to attend.
PA