| Ben Clarkson Connally | |
| Office: | Senior Judge of the United States District Court for the Southern District of Texas |
| Term Start: | December 28, 1974 |
| Term End: | December 2, 1975 |
| Office1: | Chief Judge of the United States District Court for the Southern District of Texas |
| Term Start1: | 1962 |
| Term End1: | 1974 |
| Predecessor1: | Allen Burroughs Hannay |
| Successor1: | Reynaldo Guerra Garza |
| Office2: | Judge of the United States District Court for the Southern District of Texas |
| Term Start2: | October 13, 1949 |
| Term End2: | December 28, 1974 |
| Appointer2: | Harry S. Truman |
| Predecessor2: | Seat established by 63 Stat. 493 |
| Successor2: | Robert J. O'Conor Jr. |
| Birth Name: | Ben Clarkson Connally |
| Birth Date: | 28 December 1909 |
| Birth Place: | Marlin, Texas, U.S. |
| Death Place: | Brooks County Hospital, Falfurrias, Texas, U.S. |
| Education: | University of Texas at Austin (B.A.) University of Texas School of Law (LL.B.) Harvard Law School (LL.M.) |
Ben Clarkson Connally (December 28, 1909 – December 2, 1975) was a United States district judge of the United States District Court for the Southern District of Texas.
Born in Marlin, Texas, Connally received a Bachelor of Arts degree from University of Texas at Austin in 1930, a Bachelor of Laws from the University of Texas School of Law in 1933, and a Master of Laws from Harvard Law School in 1934. He was in private practice in Houston, Texas from 1934 to 1942. He was in the United States Army Air Corps during World War II from 1942 to 1945. He returned to private practice in Houston until 1949.
On September 23, 1949, Connally was nominated by President Harry S. Truman to a new seat on the United States District Court for the Southern District of Texas created by 63 Stat. 493. He was confirmed by the United States Senate on October 12, 1949, and received his commission on October 13, 1949. He served as a member of the Judicial Conference of the United States from 1959 to 1962. He served as Chief Judge from 1962 to 1974, assuming senior status on December 28, 1974, and remaining in that status until his death on December 2, 1975.