In exchange for Methot, selected by Vegas from the Ottawa Senators in last week's expansion draft, the Golden Knights are getting a 2020 second-round draft selection and goaltender Dylan Ferguson, who was taken by Dallas in the seventh round of last weekend's draft.
Methot, who turned 32 last week, was with the Senators for the past five seasons, spending much of that time alongside Erik Karlsson on the team's top defensive pairing.
Methot has two years left on his contract at a salary-cap hit of $4.9 million. He has 120 points in 579 games over 11 seasons with the Columbus Blue Jackets and Senators. Karlsson won a Norris Trophy and was a finalist two more times playing alongside Methot, who could be playing alongside John Klingberg in Dallas.
"He has proven to be a capable and steady defenseman that can play well with an offensive-minded partner, and he will add a tremendous amount of leadership and experience to our blue line," Stars general manager Jim Nill said.
Methot has just 21 goals and 99 assists in his 11 NHL seasons, but is a +44 for his career.
The Stars took Ferguson in the seventh round, 194th overall, in the draft last weekend. The 18-year-old played 31 games last season with the Western Hockey League's Kamloops Blazers, going 16-10-2 with a 2.74 goals-against average and .922 save percentage.
Information from The Associated Press was used in this report.