Guardiola was part of the team that helped Barcelona win the European Cup for the first time at the old Wembley in 1992.
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"I feel privileged to have these players," Guardiola said after goals from Pedro, Messi and David Villa gave the Catalans a second Champions League final win over United in three seasons.
"I don't feel like the boss of them. So many people have worked so hard to achieve this and I congratulate everyone."
While praising man-of-the-match Messi, who he described as "unique, a one-off", Guardiola said the most satisfying part of the night was seeing how much has team had improved from two years ago in Rome, when they beat United 2-0.
"When I looked again at how we'd played in Rome I wasn't that impressed," the perfectionist Guardiola said.
"But the match served its purpose. We trained harder and tonight we had more chances and used them better."
"The challenge has to come from inside myself," Guardiola said. "I'm so happy to be here as a coach of these guys.
"I intend to continue one more year and we'll see. When the passion of the night has gone I'll go home, rest a bit and come back."
Guardiola's Barcelona were praised by Manchester United manager Sir Alex Ferguson as the best side he had come up against in his 25 years of management.
"It's impossible to say as I didn't see the Madrid of Di Stefano, the Santos of Pele or the Ajax of Cruyff," he said.
"I would just like people to remember us a team that are enjoyable to watch."
