Eber Edward Simpson (July 24, 1895 – December 19, 1964) was an American football, basketball and baseball player, football coach, and physician.

He attended the University of Wisconsin–Madison, where he starred in football, basketball, and baseball.

He also played college football at Washington University in St. Louis, from which he earned a medical degree.

Simpson was born on July 24, 1895, in Oshkosh, Wisconsin.

Simpson died at his home in Oshkosh on December 19, 1964.