It's a second gold for Hasselborg, McManus and Knochenhauer after taking the title in 2018, while all three were also part of the team that took bronze four years ago in Beijing.
For the Swiss, it's a first women's curling medal since silver 2006. Canada took the bronze on Saturday, ensuring the podium had the same nations in the same order as Turin twenty years ago.
Having edged Switzerland 6-4 en route to topping the 10-team Round Robin, Sweden would have been confident of another win having secured a rare victory over Canada, 6-3, in the semi-finals.
Switzerland, though, reached the gold medal game by beating the United States, gaining instant revenge on the side who had beaten them in their final Round Robin game.
But it was Sweden who got off to a strong start, as a take-out from skip Anna Hasselborg to finish the first end held in the middle of the house, allowing her side to take two. Any hopes of a high-scoring final, however, were all but ended in the next two ends, which Switzerland blanked.
A key moment came in the fourth end, as Sweden left the Swiss a chance to take two back, albeit with a tough draw for Alina Paetz, but her shot was too heavy, meaning they only managed to cut the deficit to 2-1.
Hasselborg almost made the same mistake with a draw at the end of the fifth, but the hammer stone just pulled up in time to allow Sweden to re-establish a two-point lead at the halfway stage.
However, it was game on again after the sixth, when a double take-out attempt from Hasselborg only removed one Swiss stone, and this time the draw from Paetz was on point, giving Switzerland two and making the score 3-3 with four ends to play.
The Swiss kept the pressure on and only allowed Sweden to take one in the seventh, keeping them on track to have the hammer in the final end.
Things appeared to be going wrong for Sweden after a poor final stone in the eighth from Hasselborg gave Switzerland a chance for two, but a mis-hit double take-out from the Swiss saw Sweden steal one by a matter of centimetres and force the Swiss to keep the hammer in end nine.
A take-out from Hasselborg nestling behind a guard left Sweden lying one, but Paetz held her nerve to remove it and give Switzerland two, taking the score to 5-5 with one end to play.
Paetz almost pulled off a precise freeze with her final stone, but there was enough room for Hasselborg to smash it out of the house and take one for the Swedes to win 6-5, adding the women's title to the mixed doubles Sweden won at the beginning of these games.
It's a second gold of the final day of the Olympics for Sweden, after Ebba Andersson triumphed in the women's cross-country skiing 50km classical, taking the country's tally to eight golds, six silvers and four bronzes.
