Boss Brendan Rodgers praised Swansea's resolve after they clinched Premier League promotion by beating Reading 4-2 in the Championship play-off final.
Scott Sinclair's hat-trick paved the way but Swansea had to dig deep, as Reading fought back to 3-2 after going three goals down at Wembley on Monday.
"It was a fantastic game," Rodgers said. "I don't think we played as well as we did for most of the season.
"But on the moments when we did show our quality we were very, very good."
Sinclair scored twice in the space of 60 seconds midway through the first half with a penalty and then a cool close-range finish, before Stephen Dobbie struck with a first-time half-volley just before the break.
Reading almost staged a dramatic second-half revival as they reduced the deficit through Joe Allen's own goal and a Matt Mills header, and then saw Jem Karacan's shot hit a post.
But Swansea sealed victory when England Under-21 international Sinclair stroked home another penalty for his hat-trick in the closing minutes.
"Conceding two goals helped us refocus and get a bit of control," Rodgers added.
"These players deserve to be in the Premier League, they showed great courage.
"It's fantastic. The supporters today were incredible and it's nice to repay their faith and get promotion.
"It was a proper, proper game and these players deserve to be in the Premier League.
"Ourselves, [runners-up] Norwich and [champions] QPR will be a credit to the Championship and will try to do well.
"We show courage and try to pass the ball but the important thing today was to try to win the game."
Swansea will now play in the top flight for the first time in 28 years and can look forward to an estimated £90m jackpot from increased revenue thanks to a sensational first-half display.
Swansea chairman Huw Jenkins reflected on a remarkable turnaround in fortunes for the south Wales club.
Just eight years ago Swansea needed to beat Hull City on the last day of the season to avoid dropping out of the Football League.
"Travelling back I think we will have to pinch ourselves to get back to reality," Jenkins said.
"It's been a remarkable 10 years for this club and to have an opportunity to continue growing and building next year - and playing the very best teams in the country - is fantastic.
"We had our luck today and sometimes in sport you need that but I think it's a great achievement. Not too many teams play this way in Britain.
"We've stuck with it through different managers and we want to continue that path next year. Hopefully that philosophy will continue for a long time.
"[Brendan Rodgers'] personality has lifted the club - we couldn't have asked for a more fantastic manager. We're lucky we've got him."
"Go back two years and we thought we had a massive task when we got into the Championship, so we've got no worries going in and testing ourselves against the best.
"We'll give it everything we've got."
Scott Sinclair's hat-trick paved the way but Swansea had to dig deep, as Reading fought back to 3-2 after going three goals down at Wembley on Monday.
"It was a fantastic game," Rodgers said. "I don't think we played as well as we did for most of the season.
"But on the moments when we did show our quality we were very, very good."
Sinclair scored twice in the space of 60 seconds midway through the first half with a penalty and then a cool close-range finish, before Stephen Dobbie struck with a first-time half-volley just before the break.
Reading almost staged a dramatic second-half revival as they reduced the deficit through Joe Allen's own goal and a Matt Mills header, and then saw Jem Karacan's shot hit a post.
But Swansea sealed victory when England Under-21 international Sinclair stroked home another penalty for his hat-trick in the closing minutes.
"Conceding two goals helped us refocus and get a bit of control," Rodgers added.
"These players deserve to be in the Premier League, they showed great courage.
"It's fantastic. The supporters today were incredible and it's nice to repay their faith and get promotion.
"It was a proper, proper game and these players deserve to be in the Premier League.
"Ourselves, [runners-up] Norwich and [champions] QPR will be a credit to the Championship and will try to do well.
"We show courage and try to pass the ball but the important thing today was to try to win the game."
Swansea will now play in the top flight for the first time in 28 years and can look forward to an estimated £90m jackpot from increased revenue thanks to a sensational first-half display.
Swansea chairman Huw Jenkins reflected on a remarkable turnaround in fortunes for the south Wales club.
Just eight years ago Swansea needed to beat Hull City on the last day of the season to avoid dropping out of the Football League.
"Travelling back I think we will have to pinch ourselves to get back to reality," Jenkins said.
"It's been a remarkable 10 years for this club and to have an opportunity to continue growing and building next year - and playing the very best teams in the country - is fantastic.
"We had our luck today and sometimes in sport you need that but I think it's a great achievement. Not too many teams play this way in Britain.
"We've stuck with it through different managers and we want to continue that path next year. Hopefully that philosophy will continue for a long time.
"[Brendan Rodgers'] personality has lifted the club - we couldn't have asked for a more fantastic manager. We're lucky we've got him."
"Go back two years and we thought we had a massive task when we got into the Championship, so we've got no worries going in and testing ourselves against the best.
"We'll give it everything we've got."