The Olympic champions were dominant in the final, beating France 3-1, with Myhrer confirming the win when he took advantage of Julien Lizeroux’s slip midway through the final heat of the parallel event.
It came down to the final run in Are but Myhrer just had too much to cap off a stellar season for the hosts.
Beaming Shiffrin receives her World Cup overall title
Sweden defended the title they won a year ago, becoming just the third side to win two years in a row after Austria and Switzerland.
France, who finished fourth in the Winter Olympics, were excellent throughout but Sweden, in front of a home crowd, were just too strong.
Germany, who were runners-up to Sweden a year ago, finished just ahead of Austria to take third.
Shiffrin tells Eurosport: I can look back and really smile about this season, I feel like deserve it
Hirscher smiles as he's handed seventh consecutive Crystal Globe