But the Red Rose had to dig deep as a second-half try from Wales No.8 Ben Thomas - added to an earlier score from Edward Siggery and two Matthew Morgan penalties - made for a nervy finale.
However England held on and kick-started their bid to take back the Six Nations crown from Ireland in the best way possible.
And Worcester Warrior Kvesic maintains while the job of starting off with a win was successful, expect to see his side perform better as the competition unfolds.
"It doesn't get much better than that," he said. "If someone had offered me two tries and a win I would have bit their hand off.
"I'm not going to take any of the credit though, every single one of my teammates put a shift in and we all pulled together to get the win I think we deserved.
"Credit to Wales, they really stuck it into us hard towards the end and really forced us to play.
"They came out all guns blazing but we stood firm and held out for the win - and to do that in Wales, you can't ask for much more.
"It was like a game of two halves in a way - we seemed to spend most of the first half attacking and most of the second defending.
"It was nothing to do with complacency, I just think that the crowd really got behind them and Wales played well and ran the ball smartly.
"Whether we had won that game by 60 points or by six points we need to take a look at how we played, because we know that there is room for improvement.
"We've got the whole of next week to push on and pick it up. We'll take what we can from this and build on the positives as well as the negatives."