[3] He was a special attorney for the Antitrust Division of the United States Department of Justice in Denver, Colorado from 1941 to 1943.

[5] Browning was nominated by President John F. Kennedy on September 6, 1961, to a seat on the United States Court of Appeals for the Ninth Circuit vacated by Judge Walter Lyndon Pope.

[4] He served as Chief Judge and a member of the Judicial Conference of the United States from July 1, 1976 to June 15, 1988.

In 2001, the Montana State Bar Association gave Browning its highest honor, the Jameson Award.

In 2005, the main Ninth Circuit Court of Appeals courthouse in San Francisco was named in his honor.