A brace of tries from Leigh Halfpenny, who contributed 24 points, and efforts from Gareth Davies and electric winger Steffan Evans was enough to overcome an in-form Scotland side.
“I thought our attacking game came right to the fore in the second half and we came away with four tries,” said Scarlets hooker Owens.
“We have been criticised for not scoring tries, for not being able to score, and I think we delivered on that. If we tidy a few things up, we will get better by next week.
“Perhaps we tried one too many offloads at times. We don’t want to discourage the boys from doing that, but sometimes there is that realisation that if we hold it for that extra phase, you can get them on the next one.
“But the ambition was great and first game up, we are pretty happy. You are going to get used to the intensity of Test match rugby on the second weekend. We have always been slow starters, so it is not a bad start for us.”
Wales will now face back-to-back champions England at Twickenham who recorded an impressive 46-15 victory against Italy in Rome on Sunday.
But Owens insists Wales will be heading up the M4 full of confidence after their impressive opening performance.
“We have done well at Twickenham over the years,” he said.
“We finished the game really strongly two years ago and could have snuck the result and it was the same here last year. They were clinical and got an outstanding try at the end to win it.
“We will be confident going up there, but they will obviously be favourites being at home and twice winners. We have just got to worry about ourselves and delivering another performance.”