Justice Covington may refer to:

Ann K. Covington (born 1942), chief justice of the Supreme Court of Missouri J. Harry Covington (1870–1942), chief justice of the Supreme Court of the District of Columbia

See also Alexander Lockhart, Lord Covington (1700–1782), Scottish Senator of the College of Justice Virginia M. Hernandez Covington (born 1955), judge of the United States District Court for the Middle District of Florida