Patrick Anthony Conmy (born January 5, 1934) is a United States federal judge.
Born in Fargo, North Dakota, Conmy received a B.A. from Harvard College in 1955 and a J.D. from Georgetown University Law Center in 1959. He was a junior management assistant for the U.S. Department of Labor in Washington, D.C., from 1955 to 1959. He was in private practice in Bismarck, North Dakota from 1959 to 1985, also serving as city commissioner for Bismarck, North Dakota from 1968 to 1976, and as a member of the North Dakota House of Representatives from 1976 to 1985.
On October 16, 1985, Conmy was nominated by President Ronald Reagan to a seat on the United States District Court for the District of North Dakota vacated by Bruce M. Van Sickle. Conmy was confirmed by the United States Senate on December 16, 1985, and received his commission on December 17, 1985. He served as chief judge from 1985 to 1992, and assumed senior status on January 5, 2000.