Hamilton has served as an assistant to Commissioner Bud Selig since late 2006. Port was the league's vice president of umpiring, appointed to the role in 2005. Burns served as vice president for operations and administration.
Selig recently appointed former Dodgers manager Joe Torre as the new executive vice president for baseball operations.
Bailey Stephens is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.