Joseph Calvitt Clarke Jr. (August 9, 1920 – May 6, 2004) was a United States federal judge.
Born in Harrisburg, Pennsylvania, Clarke received a B.S. from the University of Virginia in 1945 and an LL.B. from the University of Virginia School of Law in 1945. He was in private practice in Richmond, Virginia from 1945 to 1975.
On December 11, 1974, Clarke was nominated by President Gerald Ford to a seat on the United States District Court for the Eastern District of Virginia vacated by Walter E. Hoffman. Clarke was confirmed by the United States Senate on December 19, 1974, and received his commission on December 20, 1974. He assumed senior status on July 31, 1991. Clarke served in that capacity until his death, in 2004, in Virginia Beach, Virginia.