William Joseph Bauer was an American judge who was a senior circuit judge of the United States Court of Appeals for the Seventh Circuit in Chicago from 1974 until his death, having been nominated to the position by President Gerald Ford. He previously was a United States district judge of the United States District Court for the Northern District of Illinois from 1971 until 1975, having been nominated by President Richard Nixon. He was known for presiding over the Amoco Cadiz oil spill case.