Francis Joseph Wing (September 14, 1850 – February 2, 1918) was a United States district judge of the United States District Court for the Northern District of Ohio.

Born in North Bloomfield, Ohio,^[1] Wing was educated at Phillips Academy,^[2] and Harvard University.^[1] He read law with Caleb Blodgett at Boston, Massachusetts, Judge Buckingham of Newark, New Jersey and Edward O. Fitch of Ashtabula, Ohio. He was admitted to the bar in 1874.^[2] He was in private practice in Cleveland, Ohio from 1874 to 1899.^[1] He was an Assistant United States Attorney of the Northern District of Ohio from 1880 to 1881.^[1] He was a Judge of the Cuyahoga County Court of Common Pleas from 1899 to 1901.^[1] He was Republican in politics.^[2]

Wing was nominated by President William McKinley on January 21, 1901, to the United States District Court for the Northern District of Ohio, to a new seat authorized by 31 Stat. 726. He was confirmed by the United States Senate on January 23, 1901, and received his commission the same day. His service terminated on February 1, 1905, due to his resignation.^[1]

Following his resignation from the federal bench, Wing resumed private practice in Cleveland. He died on February 2, 1918.^[1]

Wing married Mary Brackett Remington of Cleveland September 25, 1878. They had three daughters named Virginia Remington, Marie Remington, and Stephanie Remington.^[2]