The United States men’s national basketball team announced its Olympic roster Saturday night, filling the three spots it had remaining.

The Clippers’ Blake Griffin, the Thunder’s James Harden and the 76ers’ Andre Iguodala were added to the nine players who had already secured a spot. All three will play in their first Olympics.

The three players who were nominated but not selected to the roster were Rudy Gay, Eric Gordon and Anthony Davis, the top pick in this year’s N.B.A. draft.

Coach Mike Krzyzewski decided to place the biggest emphasis on athleticism. Many of the players who already had a spot on the team, like LeBron James, Kevin Durant and Kobe Bryant, can play guard or forward.

“This team has great versatility,” Krzyzewski said.

The team is full of players who have faced international competition, with 10 players who were on the 2008 Olympic or 2010 world championships teams, both events in which the United States took home a title.

“We have more playmakers in the second unit than in 2008,” Bryant said. “We have to try to take full advantage of those guys.”