Hoeveler was born in 1922 in Paris, France. He was a standout athlete in football, basketball, tennis, volleyball and track while attending Haverford High School in Havertown, Pennsylvania from which he graduated in 1941. He then attended Temple University but left college to enlist in the United States Marine Corps during World War II, where he served a tour of duty in the Pacific as a lieutenant from 1942 to 1946. Hoeveler graduated from Bucknell University, where he was a member of Sigma Chi, with an Bachelor of Arts degree in 1947. He graduated from Harvard Law School with an LL.B. in 1950. Hoeveler conducted private practice in Miami from 1951 to 1977.
President Jimmy Carter nominated Hoeveler to the United States District Court for the Southern District of Florida on April 5, 1977, to the seat vacated by Peter T. Fay. Confirmed by the Senate on April 25, 1977, he received commission on April 26, 1977. He assumed senior status on January 31, 1991.
Hoeveler gained a reputation as a champion of the Everglades and an opponent of Florida's sugar industry ("Big Sugar") during his time on the bench. He also presided over the trial of deposed Panamanian ruler Manuel Noriega and hearings in the Elián González affair 
Former Law Clerks
- Angel A. Cortiñas, judge on the Florida Third District Court of Appeal
- Kevin Martin, former Federal Communications Commission chair
- William Hoeveler at the Biographical Directory of Federal Judges, a public domain publication of the Federal Judicial Center.
- About Hoeveler from the University of Miami School of Law
- Profile from the Bucknell Alumni Association