An announcement Tuesday said that Stenson had decided not to join a Saudi-funded rival league.
Stenson was a good choice for Europe. He is a former champion at The Open who has won top honors on the European Tour and the PGA Tour.
The Ryder Cup is golf and sport at its best, according to Stenson.
Donald and Robert were also considered.
The first Swedish player to be captain is Stenson. Europe lost to an American team loaded with youth, hunger and attitude.
The U.S. will play Marco Simone outside Rome in the 2023 matches. Italy will be hosting the Ryder Cup for the first time.
It is a huge honor and I was very happy to get the call that confirmed the news, Stenson said.
Europe usually announces its captain at the beginning of the year. Six of the previous seven captains were introduced before the end of January.
Greg Norman is trying to put together a Super Golf League that is backed by Saudi Arabia.
The challenge of the European tour and the PGA Tour made it difficult for players to sign up for a rival league.
On both sides of the Atlantic, Stenson is known for his dry wit, occasional prank and top performance. He won the FedEx Cup on the PGA Tour and the Race to Dubai on the European tour after becoming the first Swedish man to win a major.
The K Club in Ireland was where Stenson holed the cup-clinching putt in the 2006 Ryder Cup. He has not missed a match since then.
He comes with all the credibility of what he has achieved, and as we all know a dry sense of humor and a fantastic warm personality. He is respected by the players and admired by everyone involved with the game.