Ramsey's 16th goal of the season in the 118th minute sealed victory for Arsenal and ended the club's nine year trophy drought.
The Welshman admitted it was a shock to concede two goals so quickly but he praised the character and determination the Gunners showed to come from behind and land the FA Cup.
Ramsey said: "We showed great strength and character today to come back to win it.
“We showed great strength and character today to come back to win it”Aaron Ramsey
"To score the winner in extra-time is something I've dreamed of for many, many years.
"It's definitely up there with the most important goals I've every scored.
"Hopefully this will be the first of many trophies in years to come.
"This one is for the manager and the fans who have always believed in us, even when things have not gone well for us."