Fellow England international Delon Armitage crossed in the second half but it was Wilkinson, who put the heartbreak of two previous Amlin Challenge Cup final defeats behind him, who stole the show.
"I've been to lots of things with a lot of great people and this ranks up there at the very top," said Wilkinson, who was part of the 2003 Grand Slam-winning squad.
"It's written in history. We've worked so hard together. It takes everything you've got. It's such a good feeling.
"I've been to a few finals and that's not written up there on the board - you don't get the big kudos for losing finalist.
"It's a great thing to go through with an incredibly genuine and fantastic bunch of guys.
"They attacked so well, with such threatening players. We did go back a few yards but kept in there.
"At 15-6, I was saying to the boys 'one try and we're back'. We got the penalty and the breakaway try did it for us."