Per the Constitution, the President of the United States nominates all federal judges, inclusive of the Supreme Court justices, court of appeals judges, and district court judges. Then these nominations must be confirmed by the Senate.
Below are the current Supreme Court Justices of the United States:
John G. Roberts, Jr. is the Chief Justice of the United States.
Nominated for Chief Justice by President George W. Bush - took his seat on September 29, 2005.
Antonin Scalia, Associate Justice.
Nominated by President Ronald Reagan - took his seat on September 26, 1986.
Anthony M. Kennedy, Associate Justice.
Nominated by President Reagan - took his seat on February 18, 1988.
Clarence Thomas, Associate Justice.
Nominated by President George H. W. Bush - took his seat on October 3, 1991.
Ruth Bader Ginsburg, Associate Justice.
Nominated by President Bill Clinton - took her seat on August 10, 1993.
Stephen G. Breyer, Associate Justice.
Nominated by President Bill Clinton - took his seat on August 3, 1994.
Samuel Anthony Alito, Jr., Associate Justice.
Nominated by President George W. Bush - took his seat January 31, 2006.
Sonia Sotomayor, Associate Justice.
Nominated by President Barack Obama - assumed her role August 8, 2009.
Elena Kagan, Associate Justice.
Nominated by President Barack Obama - took her seat on August 7, 2010.
http://www.supremecourt.gov/about/biographies.aspx