Joseph Warren Sheehy (October 21, 1910 – February 23, 1967) was a United States federal judge.
Born in Saratoga, Texas, Sheehy received an LL.B. from Baylor University School of Law in 1934. He was an Assistant attorney general of State of Texas from 1934 to 1935. He was in private practice in Tyler, Texas from 1935 to 1951, interrupted by his service in the United States Army Air Force during World War II, from 1942 to 1945, where he achieved the rank of Major.
On May 16, 1951, Sheehy was nominated by President Harry S. Truman to a seat on the United States District Court for the Eastern District of Texas vacated by Randolph Bryant. Sheehy was confirmed by the United States Senate on June 7, 1951, and received his commission on June 8, 1951. He served as chief judge from 1954 until his death, early in 1967.