"He has an unbelievable body of work this year", Furyk said.
"I liked what I saw", Furyk said of Finau's play on the French host layout. The team dominated the Ryder Cup last time around and might even be deeper this year, making the team a worthwhile play on the betting lines.
"All the emotions that come with accomplishing something like that ... it's a dream come true for me".
The 28-year-old world number 17 tied for eighth at the rain-delayed BMW Championship on Monday, won by Keegan Bradley, who does not make the team.
"I'm so excited to be on the Ryder Cup team", Finau said.
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Finau had a chance to show off his talents up close for the captain at last month's 100th PGA Championship at Bellerive Country Club in St. Louis. Finau is ranked third on the FedEx Cup standings after an incredibly consistent season on the PGA Tour, with three runner-up finishes and 11 top 10 finishes this season. Throw in Woods and Mickelson, and that gives the US team a lineup that has combined for 31 majors.
Finau boosted his chances by joining a group that played at Le Golf National earlier this year.
Finau finished tied eighth with Xander Schauffele in tied third another contender for the slot.
The Ryder Cup is now only a few weeks away from teeing off in Paris but the teams are still yet to be set.
"I look forward to the opportunity to help the United States of America bring the Cup back".