In the United States, the title of the federal judge means a judge (pursuant to Article Three of the United States Constitution) appointed by the President of the United States and confirmed by the United States Senate pursuant to the Appointments Clause in Article II of the United States Constitution.
In addition to the Supreme Court of the United States, whose existence and some aspects of whose jurisdiction are beyond the constitutional power of Congress to alter, Congress has established 13 courts of appeals (also called "circuit courts") with appellate jurisdiction over different regions of the United States, and 94 United States district courts.
Every judge appointed to such a court may be categorized as a federal judge; such positions include the Chief Justice and Associate Justices of the Supreme Court, Circuit Judges of the courts of appeals, and district judges of the United States district courts. All of these judges described thus far are referred to sometimes as "Article III judges" because they exercise the judicial power vested in the judicial branch of the federal government by Article III of the U.S. Constitution. In addition, judges of the Court of International Trade exercise judicial power pursuant to Article III.
Other judges serving in the federal courts, including magistrate judges and bankruptcy judges, are also sometimes referred to as "federal judges"; however, they are neither appointed by the President nor confirmed by the Senate, and their power derives from Article I instead. See Article I and Article III tribunals.