The Czech Republic international has officially joined the Bundesliga club less than 24 hours after his country's national team were eliminated from Euro 2012 by Portugal
The 25-year-old, who has signed a four-year contract with the Bundesliga club, earned a move away from his native country after impressing for the Czech Republic national team at Euro 2012.
Gebre Selassie revealed last week that Werder Bremen were one of the clubs who were vying for his services and the German outfit have now confirmed that they have fended off the opposition to secure his signature.
"We are pleased that we were able to convince Selassie to join us despite having several other offers," Werder Bremen sporting director Thomas Schaaf told the club's official website.
"He is a very talented right-back who confirmed our good impression of him with some good performances at the European Championship."
Selassie won the Czech league title during his final season with Slovan Liberec but insisted that he was ready for a fresh challenge abroad.
"The decision to join Werder Bremen was the right thing to do," he explained.
"This is a club with a lot of stability and tradition, who always set their goals high. I would like to emulate here my successful season at Liberec."
Selassie featured in all four Euro 2012 matches for the Czech Republic, who exited the tournament on Thursday after losing 1-0 to Portugal in the first quarter-final of the competition.